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Finding the Fourth Proportional to 277.52, 414.58 and 199.82

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Solution

The fourth proportional to 277.52, 414.58 and 199.82 is: 298.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.52 : 414.58 = 199.82 : x
  2. Step 2: Convert to fraction form
    277.52/414.58 = 199.82/x
  3. Step 3: Cross multiply
    277.52x = 414.58 × 199.82
  4. Step 4: Simplify right side
    277.52x = 82,841.38
  5. Step 5: Solve for x
    x = 82,841.38/277.52
  6. Step 6: Final answer
    x = 298.51

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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.