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Finding the Fourth Proportional to 202.46, 279.52 and 124.88

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Solution

The fourth proportional to 202.46, 279.52 and 124.88 is: 172.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.46 : 279.52 = 124.88 : x
  2. Step 2: Convert to fraction form
    202.46/279.52 = 124.88/x
  3. Step 3: Cross multiply
    202.46x = 279.52 × 124.88
  4. Step 4: Simplify right side
    202.46x = 34,904.75
  5. Step 5: Solve for x
    x = 34,904.75/202.46
  6. Step 6: Final answer
    x = 172.41

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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.