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Finding the Fourth Proportional to 149.19, 206.07 and 131.76

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Solution

The fourth proportional to 149.19, 206.07 and 131.76 is: 181.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.19 : 206.07 = 131.76 : x
  2. Step 2: Convert to fraction form
    149.19/206.07 = 131.76/x
  3. Step 3: Cross multiply
    149.19x = 206.07 × 131.76
  4. Step 4: Simplify right side
    149.19x = 27,151.78
  5. Step 5: Solve for x
    x = 27,151.78/149.19
  6. Step 6: Final answer
    x = 181.99

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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.