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Finding the Fourth Proportional to 256.88, 385.38 and 126.88

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Solution

The fourth proportional to 256.88, 385.38 and 126.88 is: 190.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.88 : 385.38 = 126.88 : x
  2. Step 2: Convert to fraction form
    256.88/385.38 = 126.88/x
  3. Step 3: Cross multiply
    256.88x = 385.38 × 126.88
  4. Step 4: Simplify right side
    256.88x = 48,897.01
  5. Step 5: Solve for x
    x = 48,897.01/256.88
  6. Step 6: Final answer
    x = 190.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.