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Finding the Fourth Proportional to 131.31, 198.57 and 131.31

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Solution

The fourth proportional to 131.31, 198.57 and 131.31 is: 198.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.31 : 198.57 = 131.31 : x
  2. Step 2: Convert to fraction form
    131.31/198.57 = 131.31/x
  3. Step 3: Cross multiply
    131.31x = 198.57 × 131.31
  4. Step 4: Simplify right side
    131.31x = 26,074.23
  5. Step 5: Solve for x
    x = 26,074.23/131.31
  6. Step 6: Final answer
    x = 198.57

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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.