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Finding the Fourth Proportional to 207.51, 286.14 and 176.53

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Solution

The fourth proportional to 207.51, 286.14 and 176.53 is: 243.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.51 : 286.14 = 176.53 : x
  2. Step 2: Convert to fraction form
    207.51/286.14 = 176.53/x
  3. Step 3: Cross multiply
    207.51x = 286.14 × 176.53
  4. Step 4: Simplify right side
    207.51x = 50,512.29
  5. Step 5: Solve for x
    x = 50,512.29/207.51
  6. Step 6: Final answer
    x = 243.42

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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.