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Finding the Fourth Proportional to 393.92, 591.10 and 177.52

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Solution

The fourth proportional to 393.92, 591.10 and 177.52 is: 266.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.92 : 591.10 = 177.52 : x
  2. Step 2: Convert to fraction form
    393.92/591.10 = 177.52/x
  3. Step 3: Cross multiply
    393.92x = 591.10 × 177.52
  4. Step 4: Simplify right side
    393.92x = 104,932.07
  5. Step 5: Solve for x
    x = 104,932.07/393.92
  6. Step 6: Final answer
    x = 266.38

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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.