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Finding the Fourth Proportional to 546.34, 818.97 and 221.50

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Solution

The fourth proportional to 546.34, 818.97 and 221.50 is: 332.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.34 : 818.97 = 221.50 : x
  2. Step 2: Convert to fraction form
    546.34/818.97 = 221.50/x
  3. Step 3: Cross multiply
    546.34x = 818.97 × 221.50
  4. Step 4: Simplify right side
    546.34x = 181,401.86
  5. Step 5: Solve for x
    x = 181,401.86/546.34
  6. Step 6: Final answer
    x = 332.03

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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.