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Finding the Fourth Proportional to 167.90, 231.07 and 152.38

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Solution

The fourth proportional to 167.90, 231.07 and 152.38 is: 209.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.90 : 231.07 = 152.38 : x
  2. Step 2: Convert to fraction form
    167.90/231.07 = 152.38/x
  3. Step 3: Cross multiply
    167.90x = 231.07 × 152.38
  4. Step 4: Simplify right side
    167.90x = 35,208.53
  5. Step 5: Solve for x
    x = 35,208.53/167.90
  6. Step 6: Final answer
    x = 209.70

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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.