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Finding the Fourth Proportional to 220.32, 332.10 and 200.88

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Solution

The fourth proportional to 220.32, 332.10 and 200.88 is: 302.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.32 : 332.10 = 200.88 : x
  2. Step 2: Convert to fraction form
    220.32/332.10 = 200.88/x
  3. Step 3: Cross multiply
    220.32x = 332.10 × 200.88
  4. Step 4: Simplify right side
    220.32x = 66,712.25
  5. Step 5: Solve for x
    x = 66,712.25/220.32
  6. Step 6: Final answer
    x = 302.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.