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Finding the Fourth Proportional to 229.05, 342.81 and 167.18

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Solution

The fourth proportional to 229.05, 342.81 and 167.18 is: 250.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.05 : 342.81 = 167.18 : x
  2. Step 2: Convert to fraction form
    229.05/342.81 = 167.18/x
  3. Step 3: Cross multiply
    229.05x = 342.81 × 167.18
  4. Step 4: Simplify right side
    229.05x = 57,309.26
  5. Step 5: Solve for x
    x = 57,309.26/229.05
  6. Step 6: Final answer
    x = 250.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.