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Finding the Fourth Proportional to 256.76, 385.14 and 143.48

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Solution

The fourth proportional to 256.76, 385.14 and 143.48 is: 215.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.76 : 385.14 = 143.48 : x
  2. Step 2: Convert to fraction form
    256.76/385.14 = 143.48/x
  3. Step 3: Cross multiply
    256.76x = 385.14 × 143.48
  4. Step 4: Simplify right side
    256.76x = 55,259.89
  5. Step 5: Solve for x
    x = 55,259.89/256.76
  6. Step 6: Final answer
    x = 215.22

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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.