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Finding the Fourth Proportional to 256.57, 354.05 and 151.64

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Solution

The fourth proportional to 256.57, 354.05 and 151.64 is: 209.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.57 : 354.05 = 151.64 : x
  2. Step 2: Convert to fraction form
    256.57/354.05 = 151.64/x
  3. Step 3: Cross multiply
    256.57x = 354.05 × 151.64
  4. Step 4: Simplify right side
    256.57x = 53,688.27
  5. Step 5: Solve for x
    x = 53,688.27/256.57
  6. Step 6: Final answer
    x = 209.25

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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.