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Finding the Fourth Proportional to 273.38, 410.15 and 143.40

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Solution

The fourth proportional to 273.38, 410.15 and 143.40 is: 215.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.38 : 410.15 = 143.40 : x
  2. Step 2: Convert to fraction form
    273.38/410.15 = 143.40/x
  3. Step 3: Cross multiply
    273.38x = 410.15 × 143.40
  4. Step 4: Simplify right side
    273.38x = 58,814.79
  5. Step 5: Solve for x
    x = 58,814.79/273.38
  6. Step 6: Final answer
    x = 215.14

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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.