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Finding the Fourth Proportional to 256.37, 385.16 and 159.17

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Solution

The fourth proportional to 256.37, 385.16 and 159.17 is: 239.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.37 : 385.16 = 159.17 : x
  2. Step 2: Convert to fraction form
    256.37/385.16 = 159.17/x
  3. Step 3: Cross multiply
    256.37x = 385.16 × 159.17
  4. Step 4: Simplify right side
    256.37x = 61,303.20
  5. Step 5: Solve for x
    x = 61,303.20/256.37
  6. Step 6: Final answer
    x = 239.12

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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.