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Finding the Fourth Proportional to 207.96, 310.40 and 183.66

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Solution

The fourth proportional to 207.96, 310.40 and 183.66 is: 274.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.96 : 310.40 = 183.66 : x
  2. Step 2: Convert to fraction form
    207.96/310.40 = 183.66/x
  3. Step 3: Cross multiply
    207.96x = 310.40 × 183.66
  4. Step 4: Simplify right side
    207.96x = 57,007.15
  5. Step 5: Solve for x
    x = 57,007.15/207.96
  6. Step 6: Final answer
    x = 274.13

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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.