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Finding the Fourth Proportional to 198.70, 298.10 and 77

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Solution

The fourth proportional to 198.70, 298.10 and 77 is: 115.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.70 : 298.10 = 77 : x
  2. Step 2: Convert to fraction form
    198.70/298.10 = 77/x
  3. Step 3: Cross multiply
    198.70x = 298.10 × 77
  4. Step 4: Simplify right side
    198.70x = 22,953.32
  5. Step 5: Solve for x
    x = 22,953.32/198.70
  6. Step 6: Final answer
    x = 115.52

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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.