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Finding the Fourth Proportional to 199.24, 298.24 and 117.80

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Solution

The fourth proportional to 199.24, 298.24 and 117.80 is: 176.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.24 : 298.24 = 117.80 : x
  2. Step 2: Convert to fraction form
    199.24/298.24 = 117.80/x
  3. Step 3: Cross multiply
    199.24x = 298.24 × 117.80
  4. Step 4: Simplify right side
    199.24x = 35,132.67
  5. Step 5: Solve for x
    x = 35,132.67/199.24
  6. Step 6: Final answer
    x = 176.33

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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.