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Finding the Fourth Proportional to 253.89, 350.25 and 166.50

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Solution

The fourth proportional to 253.89, 350.25 and 166.50 is: 229.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.89 : 350.25 = 166.50 : x
  2. Step 2: Convert to fraction form
    253.89/350.25 = 166.50/x
  3. Step 3: Cross multiply
    253.89x = 350.25 × 166.50
  4. Step 4: Simplify right side
    253.89x = 58,316.63
  5. Step 5: Solve for x
    x = 58,316.63/253.89
  6. Step 6: Final answer
    x = 229.69

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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.