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Finding the Fourth Proportional to 256.62, 384.96 and 94.31

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Solution

The fourth proportional to 256.62, 384.96 and 94.31 is: 141.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.62 : 384.96 = 94.31 : x
  2. Step 2: Convert to fraction form
    256.62/384.96 = 94.31/x
  3. Step 3: Cross multiply
    256.62x = 384.96 × 94.31
  4. Step 4: Simplify right side
    256.62x = 36,303.65
  5. Step 5: Solve for x
    x = 36,303.65/256.62
  6. Step 6: Final answer
    x = 141.47

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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.