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Finding the Fourth Proportional to 207.54, 286.74 and 176.78

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Solution

The fourth proportional to 207.54, 286.74 and 176.78 is: 244.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.54 : 286.74 = 176.78 : x
  2. Step 2: Convert to fraction form
    207.54/286.74 = 176.78/x
  3. Step 3: Cross multiply
    207.54x = 286.74 × 176.78
  4. Step 4: Simplify right side
    207.54x = 50,689.90
  5. Step 5: Solve for x
    x = 50,689.90/207.54
  6. Step 6: Final answer
    x = 244.24

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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.