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Finding the Fourth Proportional to 269.96, 405.26 and 178.74

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Solution

The fourth proportional to 269.96, 405.26 and 178.74 is: 268.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.96 : 405.26 = 178.74 : x
  2. Step 2: Convert to fraction form
    269.96/405.26 = 178.74/x
  3. Step 3: Cross multiply
    269.96x = 405.26 × 178.74
  4. Step 4: Simplify right side
    269.96x = 72,434.59
  5. Step 5: Solve for x
    x = 72,434.59/269.96
  6. Step 6: Final answer
    x = 268.32

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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.