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Finding the Fourth Proportional to 253.53, 349.99 and 166.25

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Solution

The fourth proportional to 253.53, 349.99 and 166.25 is: 229.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.53 : 349.99 = 166.25 : x
  2. Step 2: Convert to fraction form
    253.53/349.99 = 166.25/x
  3. Step 3: Cross multiply
    253.53x = 349.99 × 166.25
  4. Step 4: Simplify right side
    253.53x = 58,186.30
  5. Step 5: Solve for x
    x = 58,186.30/253.53
  6. Step 6: Final answer
    x = 229.50

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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.