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Finding the Fourth Proportional to 375.76, 563.50 and 132.13

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Solution

The fourth proportional to 375.76, 563.50 and 132.13 is: 198.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.76 : 563.50 = 132.13 : x
  2. Step 2: Convert to fraction form
    375.76/563.50 = 132.13/x
  3. Step 3: Cross multiply
    375.76x = 563.50 × 132.13
  4. Step 4: Simplify right side
    375.76x = 74,455.26
  5. Step 5: Solve for x
    x = 74,455.26/375.76
  6. Step 6: Final answer
    x = 198.15

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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.