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Finding the Fourth Proportional to 207.80, 312.86 and 183.57

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Solution

The fourth proportional to 207.80, 312.86 and 183.57 is: 276.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.80 : 312.86 = 183.57 : x
  2. Step 2: Convert to fraction form
    207.80/312.86 = 183.57/x
  3. Step 3: Cross multiply
    207.80x = 312.86 × 183.57
  4. Step 4: Simplify right side
    207.80x = 57,429.83
  5. Step 5: Solve for x
    x = 57,429.83/207.80
  6. Step 6: Final answer
    x = 276.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.