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Finding the Fourth Proportional to 269.01, 403.72 and 177.82

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Solution

The fourth proportional to 269.01, 403.72 and 177.82 is: 266.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.01 : 403.72 = 177.82 : x
  2. Step 2: Convert to fraction form
    269.01/403.72 = 177.82/x
  3. Step 3: Cross multiply
    269.01x = 403.72 × 177.82
  4. Step 4: Simplify right side
    269.01x = 71,788.04
  5. Step 5: Solve for x
    x = 71,788.04/269.01
  6. Step 6: Final answer
    x = 266.86

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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.