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Finding the Fourth Proportional to 207.45, 286.23 and 176.31

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Solution

The fourth proportional to 207.45, 286.23 and 176.31 is: 243.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.45 : 286.23 = 176.31 : x
  2. Step 2: Convert to fraction form
    207.45/286.23 = 176.31/x
  3. Step 3: Cross multiply
    207.45x = 286.23 × 176.31
  4. Step 4: Simplify right side
    207.45x = 50,465.87
  5. Step 5: Solve for x
    x = 50,465.87/207.45
  6. Step 6: Final answer
    x = 243.27

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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.