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Finding the Fourth Proportional to 269.14, 370.98 and 232.14

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Solution

The fourth proportional to 269.14, 370.98 and 232.14 is: 319.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.14 : 370.98 = 232.14 : x
  2. Step 2: Convert to fraction form
    269.14/370.98 = 232.14/x
  3. Step 3: Cross multiply
    269.14x = 370.98 × 232.14
  4. Step 4: Simplify right side
    269.14x = 86,119.30
  5. Step 5: Solve for x
    x = 86,119.30/269.14
  6. Step 6: Final answer
    x = 319.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.