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Finding the Fourth Proportional to 199.82, 298.24 and 175.52

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Solution

The fourth proportional to 199.82, 298.24 and 175.52 is: 261.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.82 : 298.24 = 175.52 : x
  2. Step 2: Convert to fraction form
    199.82/298.24 = 175.52/x
  3. Step 3: Cross multiply
    199.82x = 298.24 × 175.52
  4. Step 4: Simplify right side
    199.82x = 52,347.08
  5. Step 5: Solve for x
    x = 52,347.08/199.82
  6. Step 6: Final answer
    x = 261.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.