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Finding the Fourth Proportional to 198.11, 295.65 and 175.03

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Solution

The fourth proportional to 198.11, 295.65 and 175.03 is: 261.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.11 : 295.65 = 175.03 : x
  2. Step 2: Convert to fraction form
    198.11/295.65 = 175.03/x
  3. Step 3: Cross multiply
    198.11x = 295.65 × 175.03
  4. Step 4: Simplify right side
    198.11x = 51,746.88
  5. Step 5: Solve for x
    x = 51,746.88/198.11
  6. Step 6: Final answer
    x = 261.20

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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.