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Finding the Fourth Proportional to 167.60, 250.12 and 162.74

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Solution

The fourth proportional to 167.60, 250.12 and 162.74 is: 242.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.60 : 250.12 = 162.74 : x
  2. Step 2: Convert to fraction form
    167.60/250.12 = 162.74/x
  3. Step 3: Cross multiply
    167.60x = 250.12 × 162.74
  4. Step 4: Simplify right side
    167.60x = 40,705.36
  5. Step 5: Solve for x
    x = 40,705.36/167.60
  6. Step 6: Final answer
    x = 242.87

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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.