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Finding the Fourth Proportional to 207.17, 310.42 and 199.49

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Solution

The fourth proportional to 207.17, 310.42 and 199.49 is: 298.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.17 : 310.42 = 199.49 : x
  2. Step 2: Convert to fraction form
    207.17/310.42 = 199.49/x
  3. Step 3: Cross multiply
    207.17x = 310.42 × 199.49
  4. Step 4: Simplify right side
    207.17x = 61,925.82
  5. Step 5: Solve for x
    x = 61,925.82/207.17
  6. Step 6: Final answer
    x = 298.91

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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.