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Finding the Fourth Proportional to 755.15, 1,132.52 and 207.20

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Solution

The fourth proportional to 755.15, 1,132.52 and 207.20 is: 310.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.15 : 1,132.52 = 207.20 : x
  2. Step 2: Convert to fraction form
    755.15/1,132.52 = 207.20/x
  3. Step 3: Cross multiply
    755.15x = 1,132.52 × 207.20
  4. Step 4: Simplify right side
    755.15x = 234,657.11
  5. Step 5: Solve for x
    x = 234,657.11/755.15
  6. Step 6: Final answer
    x = 310.74

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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.