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Finding the Fourth Proportional to 269.02, 403.41 and 124.63

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Solution

The fourth proportional to 269.02, 403.41 and 124.63 is: 186.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.02 : 403.41 = 124.63 : x
  2. Step 2: Convert to fraction form
    269.02/403.41 = 124.63/x
  3. Step 3: Cross multiply
    269.02x = 403.41 × 124.63
  4. Step 4: Simplify right side
    269.02x = 50,274.97
  5. Step 5: Solve for x
    x = 50,274.97/269.02
  6. Step 6: Final answer
    x = 186.89

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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.