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Finding the Fourth Proportional to 198.32, 296.06 and 177.84

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Solution

The fourth proportional to 198.32, 296.06 and 177.84 is: 265.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.32 : 296.06 = 177.84 : x
  2. Step 2: Convert to fraction form
    198.32/296.06 = 177.84/x
  3. Step 3: Cross multiply
    198.32x = 296.06 × 177.84
  4. Step 4: Simplify right side
    198.32x = 52,650.42
  5. Step 5: Solve for x
    x = 52,650.42/198.32
  6. Step 6: Final answer
    x = 265.49

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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.