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Finding the Fourth Proportional to 256.18, 384.50 and 102.41

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Solution

The fourth proportional to 256.18, 384.50 and 102.41 is: 153.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.18 : 384.50 = 102.41 : x
  2. Step 2: Convert to fraction form
    256.18/384.50 = 102.41/x
  3. Step 3: Cross multiply
    256.18x = 384.50 × 102.41
  4. Step 4: Simplify right side
    256.18x = 39,377.61
  5. Step 5: Solve for x
    x = 39,377.61/256.18
  6. Step 6: Final answer
    x = 153.71

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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.