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Finding the Fourth Proportional to 270.75, 406.20 and 88.14

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Solution

The fourth proportional to 270.75, 406.20 and 88.14 is: 132.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.75 : 406.20 = 88.14 : x
  2. Step 2: Convert to fraction form
    270.75/406.20 = 88.14/x
  3. Step 3: Cross multiply
    270.75x = 406.20 × 88.14
  4. Step 4: Simplify right side
    270.75x = 35,802.47
  5. Step 5: Solve for x
    x = 35,802.47/270.75
  6. Step 6: Final answer
    x = 132.23

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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.