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Finding the Fourth Proportional to 375.93, 563.90 and 132.47

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Solution

The fourth proportional to 375.93, 563.90 and 132.47 is: 198.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.93 : 563.90 = 132.47 : x
  2. Step 2: Convert to fraction form
    375.93/563.90 = 132.47/x
  3. Step 3: Cross multiply
    375.93x = 563.90 × 132.47
  4. Step 4: Simplify right side
    375.93x = 74,701.64
  5. Step 5: Solve for x
    x = 74,701.64/375.93
  6. Step 6: Final answer
    x = 198.71

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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.