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Finding the Fourth Proportional to 270.83, 406.17 and 88.19

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Solution

The fourth proportional to 270.83, 406.17 and 88.19 is: 132.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.83 : 406.17 = 88.19 : x
  2. Step 2: Convert to fraction form
    270.83/406.17 = 88.19/x
  3. Step 3: Cross multiply
    270.83x = 406.17 × 88.19
  4. Step 4: Simplify right side
    270.83x = 35,820.13
  5. Step 5: Solve for x
    x = 35,820.13/270.83
  6. Step 6: Final answer
    x = 132.26

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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.