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Finding the Fourth Proportional to 162.27, 242.12 and 144.05

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Solution

The fourth proportional to 162.27, 242.12 and 144.05 is: 214.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.27 : 242.12 = 144.05 : x
  2. Step 2: Convert to fraction form
    162.27/242.12 = 144.05/x
  3. Step 3: Cross multiply
    162.27x = 242.12 × 144.05
  4. Step 4: Simplify right side
    162.27x = 34,876.54
  5. Step 5: Solve for x
    x = 34,876.54/162.27
  6. Step 6: Final answer
    x = 214.93

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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.