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Finding the Fourth Proportional to 546.16, 818.61 and 221.13

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Solution

The fourth proportional to 546.16, 818.61 and 221.13 is: 331.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.16 : 818.61 = 221.13 : x
  2. Step 2: Convert to fraction form
    546.16/818.61 = 221.13/x
  3. Step 3: Cross multiply
    546.16x = 818.61 × 221.13
  4. Step 4: Simplify right side
    546.16x = 181,019.23
  5. Step 5: Solve for x
    x = 181,019.23/546.16
  6. Step 6: Final answer
    x = 331.44

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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.