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Finding the Fourth Proportional to 256.60, 354.14 and 151.74

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Solution

The fourth proportional to 256.60, 354.14 and 151.74 is: 209.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.60 : 354.14 = 151.74 : x
  2. Step 2: Convert to fraction form
    256.60/354.14 = 151.74/x
  3. Step 3: Cross multiply
    256.60x = 354.14 × 151.74
  4. Step 4: Simplify right side
    256.60x = 53,737.20
  5. Step 5: Solve for x
    x = 53,737.20/256.60
  6. Step 6: Final answer
    x = 209.42

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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.