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Finding the Fourth Proportional to 256.50, 384.71 and 102.39

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Solution

The fourth proportional to 256.50, 384.71 and 102.39 is: 153.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.50 : 384.71 = 102.39 : x
  2. Step 2: Convert to fraction form
    256.50/384.71 = 102.39/x
  3. Step 3: Cross multiply
    256.50x = 384.71 × 102.39
  4. Step 4: Simplify right side
    256.50x = 39,388.76
  5. Step 5: Solve for x
    x = 39,388.76/256.50
  6. Step 6: Final answer
    x = 153.56

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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.