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Finding the Fourth Proportional to 220.74, 330.78 and 99.10

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Solution

The fourth proportional to 220.74, 330.78 and 99.10 is: 148.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.74 : 330.78 = 99.10 : x
  2. Step 2: Convert to fraction form
    220.74/330.78 = 99.10/x
  3. Step 3: Cross multiply
    220.74x = 330.78 × 99.10
  4. Step 4: Simplify right side
    220.74x = 32,780.30
  5. Step 5: Solve for x
    x = 32,780.30/220.74
  6. Step 6: Final answer
    x = 148.50

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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.