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Finding the Fourth Proportional to 256.46, 385.04 and 141.32

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Solution

The fourth proportional to 256.46, 385.04 and 141.32 is: 212.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.46 : 385.04 = 141.32 : x
  2. Step 2: Convert to fraction form
    256.46/385.04 = 141.32/x
  3. Step 3: Cross multiply
    256.46x = 385.04 × 141.32
  4. Step 4: Simplify right side
    256.46x = 54,411.22
  5. Step 5: Solve for x
    x = 54,411.22/256.46
  6. Step 6: Final answer
    x = 212.16

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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.