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Finding the Fourth Proportional to 143.13, 197.44 and 115.53

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Solution

The fourth proportional to 143.13, 197.44 and 115.53 is: 159.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.13 : 197.44 = 115.53 : x
  2. Step 2: Convert to fraction form
    143.13/197.44 = 115.53/x
  3. Step 3: Cross multiply
    143.13x = 197.44 × 115.53
  4. Step 4: Simplify right side
    143.13x = 22,810.24
  5. Step 5: Solve for x
    x = 22,810.24/143.13
  6. Step 6: Final answer
    x = 159.37

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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.