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Finding the Fourth Proportional to 253.39, 349.84 and 166.21

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Solution

The fourth proportional to 253.39, 349.84 and 166.21 is: 229.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.39 : 349.84 = 166.21 : x
  2. Step 2: Convert to fraction form
    253.39/349.84 = 166.21/x
  3. Step 3: Cross multiply
    253.39x = 349.84 × 166.21
  4. Step 4: Simplify right side
    253.39x = 58,145.57
  5. Step 5: Solve for x
    x = 58,145.57/253.39
  6. Step 6: Final answer
    x = 229.48

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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.