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Finding the Fourth Proportional to 199.89, 275.88 and 126.24

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Solution

The fourth proportional to 199.89, 275.88 and 126.24 is: 174.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.89 : 275.88 = 126.24 : x
  2. Step 2: Convert to fraction form
    199.89/275.88 = 126.24/x
  3. Step 3: Cross multiply
    199.89x = 275.88 × 126.24
  4. Step 4: Simplify right side
    199.89x = 34,827.09
  5. Step 5: Solve for x
    x = 34,827.09/199.89
  6. Step 6: Final answer
    x = 174.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.