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Finding the Fourth Proportional to 256.91, 385.16 and 102.80

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Solution

The fourth proportional to 256.91, 385.16 and 102.80 is: 154.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.91 : 385.16 = 102.80 : x
  2. Step 2: Convert to fraction form
    256.91/385.16 = 102.80/x
  3. Step 3: Cross multiply
    256.91x = 385.16 × 102.80
  4. Step 4: Simplify right side
    256.91x = 39,594.90
  5. Step 5: Solve for x
    x = 39,594.90/256.91
  6. Step 6: Final answer
    x = 154.12

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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.