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Finding the Fourth Proportional to 199.54, 298.91 and 91.18

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Solution

The fourth proportional to 199.54, 298.91 and 91.18 is: 136.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.54 : 298.91 = 91.18 : x
  2. Step 2: Convert to fraction form
    199.54/298.91 = 91.18/x
  3. Step 3: Cross multiply
    199.54x = 298.91 × 91.18
  4. Step 4: Simplify right side
    199.54x = 27,254.61
  5. Step 5: Solve for x
    x = 27,254.61/199.54
  6. Step 6: Final answer
    x = 136.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.