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Finding the Fourth Proportional to 162.41, 224.17 and 112.66

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Solution

The fourth proportional to 162.41, 224.17 and 112.66 is: 155.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.41 : 224.17 = 112.66 : x
  2. Step 2: Convert to fraction form
    162.41/224.17 = 112.66/x
  3. Step 3: Cross multiply
    162.41x = 224.17 × 112.66
  4. Step 4: Simplify right side
    162.41x = 25,254.15
  5. Step 5: Solve for x
    x = 25,254.15/162.41
  6. Step 6: Final answer
    x = 155.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.