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Finding the Fourth Proportional to 198.77, 297.95 and 102.38

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Solution

The fourth proportional to 198.77, 297.95 and 102.38 is: 153.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.77 : 297.95 = 102.38 : x
  2. Step 2: Convert to fraction form
    198.77/297.95 = 102.38/x
  3. Step 3: Cross multiply
    198.77x = 297.95 × 102.38
  4. Step 4: Simplify right side
    198.77x = 30,502.12
  5. Step 5: Solve for x
    x = 30,502.12/198.77
  6. Step 6: Final answer
    x = 153.46

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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.