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Finding the Fourth Proportional to 394.34, 591.60 and 150.86

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Solution

The fourth proportional to 394.34, 591.60 and 150.86 is: 226.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.34 : 591.60 = 150.86 : x
  2. Step 2: Convert to fraction form
    394.34/591.60 = 150.86/x
  3. Step 3: Cross multiply
    394.34x = 591.60 × 150.86
  4. Step 4: Simplify right side
    394.34x = 89,248.78
  5. Step 5: Solve for x
    x = 89,248.78/394.34
  6. Step 6: Final answer
    x = 226.32

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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.