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Finding the Fourth Proportional to 207.94, 310.14 and 187.28

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Solution

The fourth proportional to 207.94, 310.14 and 187.28 is: 279.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.94 : 310.14 = 187.28 : x
  2. Step 2: Convert to fraction form
    207.94/310.14 = 187.28/x
  3. Step 3: Cross multiply
    207.94x = 310.14 × 187.28
  4. Step 4: Simplify right side
    207.94x = 58,083.02
  5. Step 5: Solve for x
    x = 58,083.02/207.94
  6. Step 6: Final answer
    x = 279.33

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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.