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Finding the Fourth Proportional to 256.64, 384.32 and 158.87

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Solution

The fourth proportional to 256.64, 384.32 and 158.87 is: 237.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.64 : 384.32 = 158.87 : x
  2. Step 2: Convert to fraction form
    256.64/384.32 = 158.87/x
  3. Step 3: Cross multiply
    256.64x = 384.32 × 158.87
  4. Step 4: Simplify right side
    256.64x = 61,058.28
  5. Step 5: Solve for x
    x = 61,058.28/256.64
  6. Step 6: Final answer
    x = 237.92

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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.