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Finding the Fourth Proportional to 131.86, 198.80 and 122.58

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Solution

The fourth proportional to 131.86, 198.80 and 122.58 is: 184.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.86 : 198.80 = 122.58 : x
  2. Step 2: Convert to fraction form
    131.86/198.80 = 122.58/x
  3. Step 3: Cross multiply
    131.86x = 198.80 × 122.58
  4. Step 4: Simplify right side
    131.86x = 24,368.29
  5. Step 5: Solve for x
    x = 24,368.29/131.86
  6. Step 6: Final answer
    x = 184.80

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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.