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Finding the Fourth Proportional to 198.55, 297.04 and 175.46

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Solution

The fourth proportional to 198.55, 297.04 and 175.46 is: 262.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.55 : 297.04 = 175.46 : x
  2. Step 2: Convert to fraction form
    198.55/297.04 = 175.46/x
  3. Step 3: Cross multiply
    198.55x = 297.04 × 175.46
  4. Step 4: Simplify right side
    198.55x = 52,118.64
  5. Step 5: Solve for x
    x = 52,118.64/198.55
  6. Step 6: Final answer
    x = 262.50

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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.