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Finding the Fourth Proportional to 207.62, 310.28 and 186.21

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Solution

The fourth proportional to 207.62, 310.28 and 186.21 is: 278.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.62 : 310.28 = 186.21 : x
  2. Step 2: Convert to fraction form
    207.62/310.28 = 186.21/x
  3. Step 3: Cross multiply
    207.62x = 310.28 × 186.21
  4. Step 4: Simplify right side
    207.62x = 57,777.24
  5. Step 5: Solve for x
    x = 57,777.24/207.62
  6. Step 6: Final answer
    x = 278.28

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