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Finding the Fourth Proportional to 162.02, 243.12 and 149.78

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Solution

The fourth proportional to 162.02, 243.12 and 149.78 is: 224.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.02 : 243.12 = 149.78 : x
  2. Step 2: Convert to fraction form
    162.02/243.12 = 149.78/x
  3. Step 3: Cross multiply
    162.02x = 243.12 × 149.78
  4. Step 4: Simplify right side
    162.02x = 36,414.51
  5. Step 5: Solve for x
    x = 36,414.51/162.02
  6. Step 6: Final answer
    x = 224.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.