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Finding the Fourth Proportional to 256.17, 384.14 and 101.97

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Solution

The fourth proportional to 256.17, 384.14 and 101.97 is: 152.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.17 : 384.14 = 101.97 : x
  2. Step 2: Convert to fraction form
    256.17/384.14 = 101.97/x
  3. Step 3: Cross multiply
    256.17x = 384.14 × 101.97
  4. Step 4: Simplify right side
    256.17x = 39,170.25
  5. Step 5: Solve for x
    x = 39,170.25/256.17
  6. Step 6: Final answer
    x = 152.91

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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.