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Finding the Fourth Proportional to 207.53, 286.29 and 123.47

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Solution

The fourth proportional to 207.53, 286.29 and 123.47 is: 170.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.53 : 286.29 = 123.47 : x
  2. Step 2: Convert to fraction form
    207.53/286.29 = 123.47/x
  3. Step 3: Cross multiply
    207.53x = 286.29 × 123.47
  4. Step 4: Simplify right side
    207.53x = 35,346.79
  5. Step 5: Solve for x
    x = 35,346.79/207.53
  6. Step 6: Final answer
    x = 170.33

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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.