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Finding the Fourth Proportional to 207.86, 287.35 and 202.46

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Solution

The fourth proportional to 207.86, 287.35 and 202.46 is: 279.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.86 : 287.35 = 202.46 : x
  2. Step 2: Convert to fraction form
    207.86/287.35 = 202.46/x
  3. Step 3: Cross multiply
    207.86x = 287.35 × 202.46
  4. Step 4: Simplify right side
    207.86x = 58,174.94
  5. Step 5: Solve for x
    x = 58,174.94/207.86
  6. Step 6: Final answer
    x = 279.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.