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Finding the Fourth Proportional to 207.52, 286.32 and 166.08

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Solution

The fourth proportional to 207.52, 286.32 and 166.08 is: 229.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.52 : 286.32 = 166.08 : x
  2. Step 2: Convert to fraction form
    207.52/286.32 = 166.08/x
  3. Step 3: Cross multiply
    207.52x = 286.32 × 166.08
  4. Step 4: Simplify right side
    207.52x = 47,552.03
  5. Step 5: Solve for x
    x = 47,552.03/207.52
  6. Step 6: Final answer
    x = 229.14

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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.