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Finding the Fourth Proportional to 143.17, 197.35 and 113.61

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Solution

The fourth proportional to 143.17, 197.35 and 113.61 is: 156.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.17 : 197.35 = 113.61 : x
  2. Step 2: Convert to fraction form
    143.17/197.35 = 113.61/x
  3. Step 3: Cross multiply
    143.17x = 197.35 × 113.61
  4. Step 4: Simplify right side
    143.17x = 22,420.93
  5. Step 5: Solve for x
    x = 22,420.93/143.17
  6. Step 6: Final answer
    x = 156.60

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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.