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Finding the Fourth Proportional to 162.46, 242.20 and 144.10

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Solution

The fourth proportional to 162.46, 242.20 and 144.10 is: 214.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.46 : 242.20 = 144.10 : x
  2. Step 2: Convert to fraction form
    162.46/242.20 = 144.10/x
  3. Step 3: Cross multiply
    162.46x = 242.20 × 144.10
  4. Step 4: Simplify right side
    162.46x = 34,901.02
  5. Step 5: Solve for x
    x = 34,901.02/162.46
  6. Step 6: Final answer
    x = 214.83

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Why These Related Problems?

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