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Finding the Fourth Proportional to 198.23, 296.66 and 129.58

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Solution

The fourth proportional to 198.23, 296.66 and 129.58 is: 193.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.23 : 296.66 = 129.58 : x
  2. Step 2: Convert to fraction form
    198.23/296.66 = 129.58/x
  3. Step 3: Cross multiply
    198.23x = 296.66 × 129.58
  4. Step 4: Simplify right side
    198.23x = 38,442.45
  5. Step 5: Solve for x
    x = 38,442.45/198.23
  6. Step 6: Final answer
    x = 193.93

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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.