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Finding the Fourth Proportional to 546.07, 819.10 and 135.21

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Solution

The fourth proportional to 546.07, 819.10 and 135.21 is: 202.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.07 : 819.10 = 135.21 : x
  2. Step 2: Convert to fraction form
    546.07/819.10 = 135.21/x
  3. Step 3: Cross multiply
    546.07x = 819.10 × 135.21
  4. Step 4: Simplify right side
    546.07x = 110,750.51
  5. Step 5: Solve for x
    x = 110,750.51/546.07
  6. Step 6: Final answer
    x = 202.81

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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.