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Finding the Fourth Proportional to 167.04, 250.38 and 97.53

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Solution

The fourth proportional to 167.04, 250.38 and 97.53 is: 146.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.04 : 250.38 = 97.53 : x
  2. Step 2: Convert to fraction form
    167.04/250.38 = 97.53/x
  3. Step 3: Cross multiply
    167.04x = 250.38 × 97.53
  4. Step 4: Simplify right side
    167.04x = 24,419.56
  5. Step 5: Solve for x
    x = 24,419.56/167.04
  6. Step 6: Final answer
    x = 146.19

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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.