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Finding the Fourth Proportional to 143.07, 215.38 and 130.31

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Solution

The fourth proportional to 143.07, 215.38 and 130.31 is: 196.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.07 : 215.38 = 130.31 : x
  2. Step 2: Convert to fraction form
    143.07/215.38 = 130.31/x
  3. Step 3: Cross multiply
    143.07x = 215.38 × 130.31
  4. Step 4: Simplify right side
    143.07x = 28,067.27
  5. Step 5: Solve for x
    x = 28,067.27/143.07
  6. Step 6: Final answer
    x = 196.18

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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.