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Finding the Fourth Proportional to 167.52, 231.08 and 141.32

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Solution

The fourth proportional to 167.52, 231.08 and 141.32 is: 194.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.52 : 231.08 = 141.32 : x
  2. Step 2: Convert to fraction form
    167.52/231.08 = 141.32/x
  3. Step 3: Cross multiply
    167.52x = 231.08 × 141.32
  4. Step 4: Simplify right side
    167.52x = 32,656.23
  5. Step 5: Solve for x
    x = 32,656.23/167.52
  6. Step 6: Final answer
    x = 194.94

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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.