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Finding the Fourth Proportional to 250.02, 344.66 and 166.95

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Solution

The fourth proportional to 250.02, 344.66 and 166.95 is: 230.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.02 : 344.66 = 166.95 : x
  2. Step 2: Convert to fraction form
    250.02/344.66 = 166.95/x
  3. Step 3: Cross multiply
    250.02x = 344.66 × 166.95
  4. Step 4: Simplify right side
    250.02x = 57,540.15
  5. Step 5: Solve for x
    x = 57,540.15/250.02
  6. Step 6: Final answer
    x = 230.14

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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.