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Finding the Fourth Proportional to 162.56, 242.48 and 149.42

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Solution

The fourth proportional to 162.56, 242.48 and 149.42 is: 222.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.56 : 242.48 = 149.42 : x
  2. Step 2: Convert to fraction form
    162.56/242.48 = 149.42/x
  3. Step 3: Cross multiply
    162.56x = 242.48 × 149.42
  4. Step 4: Simplify right side
    162.56x = 36,229.40
  5. Step 5: Solve for x
    x = 36,229.40/162.56
  6. Step 6: Final answer
    x = 222.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.