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Finding the Fourth Proportional to 162.65, 243.10 and 149.68

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Solution

The fourth proportional to 162.65, 243.10 and 149.68 is: 223.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.65 : 243.10 = 149.68 : x
  2. Step 2: Convert to fraction form
    162.65/243.10 = 149.68/x
  3. Step 3: Cross multiply
    162.65x = 243.10 × 149.68
  4. Step 4: Simplify right side
    162.65x = 36,387.21
  5. Step 5: Solve for x
    x = 36,387.21/162.65
  6. Step 6: Final answer
    x = 223.71

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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.