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Finding the Fourth Proportional to 269.39, 403.98 and 96.04

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Solution

The fourth proportional to 269.39, 403.98 and 96.04 is: 144.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.39 : 403.98 = 96.04 : x
  2. Step 2: Convert to fraction form
    269.39/403.98 = 96.04/x
  3. Step 3: Cross multiply
    269.39x = 403.98 × 96.04
  4. Step 4: Simplify right side
    269.39x = 38,796.22
  5. Step 5: Solve for x
    x = 38,796.22/269.39
  6. Step 6: Final answer
    x = 144.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.