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Finding the Fourth Proportional to 132.31, 197.26 and 130.69

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Solution

The fourth proportional to 132.31, 197.26 and 130.69 is: 194.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.31 : 197.26 = 130.69 : x
  2. Step 2: Convert to fraction form
    132.31/197.26 = 130.69/x
  3. Step 3: Cross multiply
    132.31x = 197.26 × 130.69
  4. Step 4: Simplify right side
    132.31x = 25,779.91
  5. Step 5: Solve for x
    x = 25,779.91/132.31
  6. Step 6: Final answer
    x = 194.84

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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.