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Finding the Fourth Proportional to 868.11, 1,302.35 and 251.84

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Solution

The fourth proportional to 868.11, 1,302.35 and 251.84 is: 377.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.11 : 1,302.35 = 251.84 : x
  2. Step 2: Convert to fraction form
    868.11/1,302.35 = 251.84/x
  3. Step 3: Cross multiply
    868.11x = 1,302.35 × 251.84
  4. Step 4: Simplify right side
    868.11x = 327,979.31
  5. Step 5: Solve for x
    x = 327,979.31/868.11
  6. Step 6: Final answer
    x = 377.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.