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Finding the Fourth Proportional to 198.68, 296.57 and 174.38

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Solution

The fourth proportional to 198.68, 296.57 and 174.38 is: 260.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.68 : 296.57 = 174.38 : x
  2. Step 2: Convert to fraction form
    198.68/296.57 = 174.38/x
  3. Step 3: Cross multiply
    198.68x = 296.57 × 174.38
  4. Step 4: Simplify right side
    198.68x = 51,714.83
  5. Step 5: Solve for x
    x = 51,714.83/198.68
  6. Step 6: Final answer
    x = 260.30

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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.