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Finding the Fourth Proportional to 162.54, 242.24 and 162.29

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Solution

The fourth proportional to 162.54, 242.24 and 162.29 is: 241.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.54 : 242.24 = 162.29 : x
  2. Step 2: Convert to fraction form
    162.54/242.24 = 162.29/x
  3. Step 3: Cross multiply
    162.54x = 242.24 × 162.29
  4. Step 4: Simplify right side
    162.54x = 39,311.92
  5. Step 5: Solve for x
    x = 39,311.92/162.54
  6. Step 6: Final answer
    x = 241.87

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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.