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Finding the Fourth Proportional to 256.76, 385.24 and 165.63

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Solution

The fourth proportional to 256.76, 385.24 and 165.63 is: 248.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.76 : 385.24 = 165.63 : x
  2. Step 2: Convert to fraction form
    256.76/385.24 = 165.63/x
  3. Step 3: Cross multiply
    256.76x = 385.24 × 165.63
  4. Step 4: Simplify right side
    256.76x = 63,807.30
  5. Step 5: Solve for x
    x = 63,807.30/256.76
  6. Step 6: Final answer
    x = 248.51

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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.