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Finding the Fourth Proportional to 162.49, 224.13 and 151.69

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Solution

The fourth proportional to 162.49, 224.13 and 151.69 is: 209.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.49 : 224.13 = 151.69 : x
  2. Step 2: Convert to fraction form
    162.49/224.13 = 151.69/x
  3. Step 3: Cross multiply
    162.49x = 224.13 × 151.69
  4. Step 4: Simplify right side
    162.49x = 33,998.28
  5. Step 5: Solve for x
    x = 33,998.28/162.49
  6. Step 6: Final answer
    x = 209.23

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Why These Related Problems?

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