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Finding the Fourth Proportional to 220.71, 331.05 and 99.05

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Solution

The fourth proportional to 220.71, 331.05 and 99.05 is: 148.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.71 : 331.05 = 99.05 : x
  2. Step 2: Convert to fraction form
    220.71/331.05 = 99.05/x
  3. Step 3: Cross multiply
    220.71x = 331.05 × 99.05
  4. Step 4: Simplify right side
    220.71x = 32,791.51
  5. Step 5: Solve for x
    x = 32,791.51/220.71
  6. Step 6: Final answer
    x = 148.58

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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.