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Finding the Fourth Proportional to 269, 405.33 and 239.53

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Solution

The fourth proportional to 269, 405.33 and 239.53 is: 360.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    269 : 405.33 = 239.53 : x
  2. Step 2: Convert to fraction form
    269/405.33 = 239.53/x
  3. Step 3: Cross multiply
    269x = 405.33 × 239.53
  4. Step 4: Simplify right side
    269x = 97,088.69
  5. Step 5: Solve for x
    x = 97,088.69/269
  6. Step 6: Final answer
    x = 360.92

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.