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Finding the Fourth Proportional to 546.03, 819.01 and 135.16

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Solution

The fourth proportional to 546.03, 819.01 and 135.16 is: 202.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.03 : 819.01 = 135.16 : x
  2. Step 2: Convert to fraction form
    546.03/819.01 = 135.16/x
  3. Step 3: Cross multiply
    546.03x = 819.01 × 135.16
  4. Step 4: Simplify right side
    546.03x = 110,697.39
  5. Step 5: Solve for x
    x = 110,697.39/546.03
  6. Step 6: Final answer
    x = 202.73

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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.