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Finding the Fourth Proportional to 256.47, 384.68 and 112.19

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Solution

The fourth proportional to 256.47, 384.68 and 112.19 is: 168.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.47 : 384.68 = 112.19 : x
  2. Step 2: Convert to fraction form
    256.47/384.68 = 112.19/x
  3. Step 3: Cross multiply
    256.47x = 384.68 × 112.19
  4. Step 4: Simplify right side
    256.47x = 43,154.76
  5. Step 5: Solve for x
    x = 43,154.76/256.47
  6. Step 6: Final answer
    x = 168.26

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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.