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Finding the Fourth Proportional to 253.64, 349.91 and 166.34

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Solution

The fourth proportional to 253.64, 349.91 and 166.34 is: 229.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.64 : 349.91 = 166.34 : x
  2. Step 2: Convert to fraction form
    253.64/349.91 = 166.34/x
  3. Step 3: Cross multiply
    253.64x = 349.91 × 166.34
  4. Step 4: Simplify right side
    253.64x = 58,204.03
  5. Step 5: Solve for x
    x = 58,204.03/253.64
  6. Step 6: Final answer
    x = 229.47

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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.