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Finding the Fourth Proportional to 270.71, 406.07 and 88.07

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Solution

The fourth proportional to 270.71, 406.07 and 88.07 is: 132.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.71 : 406.07 = 88.07 : x
  2. Step 2: Convert to fraction form
    270.71/406.07 = 88.07/x
  3. Step 3: Cross multiply
    270.71x = 406.07 × 88.07
  4. Step 4: Simplify right side
    270.71x = 35,760.11
  5. Step 5: Solve for x
    x = 35,760.11/270.71
  6. Step 6: Final answer
    x = 132.10

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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.