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Finding the Fourth Proportional to 198.42, 297.36 and 102

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Solution

The fourth proportional to 198.42, 297.36 and 102 is: 152.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.42 : 297.36 = 102 : x
  2. Step 2: Convert to fraction form
    198.42/297.36 = 102/x
  3. Step 3: Cross multiply
    198.42x = 297.36 × 102
  4. Step 4: Simplify right side
    198.42x = 30,330.72
  5. Step 5: Solve for x
    x = 30,330.72/198.42
  6. Step 6: Final answer
    x = 152.86

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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.