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Finding the Fourth Proportional to 253.60, 349.88 and 166.24

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Solution

The fourth proportional to 253.60, 349.88 and 166.24 is: 229.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.60 : 349.88 = 166.24 : x
  2. Step 2: Convert to fraction form
    253.60/349.88 = 166.24/x
  3. Step 3: Cross multiply
    253.60x = 349.88 × 166.24
  4. Step 4: Simplify right side
    253.60x = 58,164.05
  5. Step 5: Solve for x
    x = 58,164.05/253.60
  6. Step 6: Final answer
    x = 229.35

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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.