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Finding the Fourth Proportional to 162.42, 224.02 and 157.92

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Solution

The fourth proportional to 162.42, 224.02 and 157.92 is: 217.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.42 : 224.02 = 157.92 : x
  2. Step 2: Convert to fraction form
    162.42/224.02 = 157.92/x
  3. Step 3: Cross multiply
    162.42x = 224.02 × 157.92
  4. Step 4: Simplify right side
    162.42x = 35,377.24
  5. Step 5: Solve for x
    x = 35,377.24/162.42
  6. Step 6: Final answer
    x = 217.81

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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.