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Finding the Fourth Proportional to 549.98, 824.97 and 160.02

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Solution

The fourth proportional to 549.98, 824.97 and 160.02 is: 240.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.98 : 824.97 = 160.02 : x
  2. Step 2: Convert to fraction form
    549.98/824.97 = 160.02/x
  3. Step 3: Cross multiply
    549.98x = 824.97 × 160.02
  4. Step 4: Simplify right side
    549.98x = 132,011.70
  5. Step 5: Solve for x
    x = 132,011.70/549.98
  6. Step 6: Final answer
    x = 240.03

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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.