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Finding the Fourth Proportional to 534.63, 801.98 and 149.88

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Solution

The fourth proportional to 534.63, 801.98 and 149.88 is: 224.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.63 : 801.98 = 149.88 : x
  2. Step 2: Convert to fraction form
    534.63/801.98 = 149.88/x
  3. Step 3: Cross multiply
    534.63x = 801.98 × 149.88
  4. Step 4: Simplify right side
    534.63x = 120,200.76
  5. Step 5: Solve for x
    x = 120,200.76/534.63
  6. Step 6: Final answer
    x = 224.83

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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.