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Finding the Fourth Proportional to 251.29, 377.03 and 89.02

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Solution

The fourth proportional to 251.29, 377.03 and 89.02 is: 133.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.29 : 377.03 = 89.02 : x
  2. Step 2: Convert to fraction form
    251.29/377.03 = 89.02/x
  3. Step 3: Cross multiply
    251.29x = 377.03 × 89.02
  4. Step 4: Simplify right side
    251.29x = 33,563.21
  5. Step 5: Solve for x
    x = 33,563.21/251.29
  6. Step 6: Final answer
    x = 133.56

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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.