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Finding the Fourth Proportional to 171.84, 258.36 and 166.08

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Solution

The fourth proportional to 171.84, 258.36 and 166.08 is: 249.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.84 : 258.36 = 166.08 : x
  2. Step 2: Convert to fraction form
    171.84/258.36 = 166.08/x
  3. Step 3: Cross multiply
    171.84x = 258.36 × 166.08
  4. Step 4: Simplify right side
    171.84x = 42,908.43
  5. Step 5: Solve for x
    x = 42,908.43/171.84
  6. Step 6: Final answer
    x = 249.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.