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Finding the Fourth Proportional to 202.61, 279.75 and 166.16

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Solution

The fourth proportional to 202.61, 279.75 and 166.16 is: 229.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.61 : 279.75 = 166.16 : x
  2. Step 2: Convert to fraction form
    202.61/279.75 = 166.16/x
  3. Step 3: Cross multiply
    202.61x = 279.75 × 166.16
  4. Step 4: Simplify right side
    202.61x = 46,481.86
  5. Step 5: Solve for x
    x = 46,481.86/202.61
  6. Step 6: Final answer
    x = 229.42

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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.