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Finding the Fourth Proportional to 256.97, 384.37 and 187.13

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Solution

The fourth proportional to 256.97, 384.37 and 187.13 is: 279.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.97 : 384.37 = 187.13 : x
  2. Step 2: Convert to fraction form
    256.97/384.37 = 187.13/x
  3. Step 3: Cross multiply
    256.97x = 384.37 × 187.13
  4. Step 4: Simplify right side
    256.97x = 71,927.65
  5. Step 5: Solve for x
    x = 71,927.65/256.97
  6. Step 6: Final answer
    x = 279.90

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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.