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Finding the Fourth Proportional to 256.06, 382.68 and 187.12

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Solution

The fourth proportional to 256.06, 382.68 and 187.12 is: 279.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.06 : 382.68 = 187.12 : x
  2. Step 2: Convert to fraction form
    256.06/382.68 = 187.12/x
  3. Step 3: Cross multiply
    256.06x = 382.68 × 187.12
  4. Step 4: Simplify right side
    256.06x = 71,607.08
  5. Step 5: Solve for x
    x = 71,607.08/256.06
  6. Step 6: Final answer
    x = 279.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.