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Finding the Fourth Proportional to 278.11, 383.78 and 152.07

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Solution

The fourth proportional to 278.11, 383.78 and 152.07 is: 209.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.11 : 383.78 = 152.07 : x
  2. Step 2: Convert to fraction form
    278.11/383.78 = 152.07/x
  3. Step 3: Cross multiply
    278.11x = 383.78 × 152.07
  4. Step 4: Simplify right side
    278.11x = 58,361.42
  5. Step 5: Solve for x
    x = 58,361.42/278.11
  6. Step 6: Final answer
    x = 209.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.