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Finding the Fourth Proportional to 202.23, 278.42 and 167.13

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Solution

The fourth proportional to 202.23, 278.42 and 167.13 is: 230.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.23 : 278.42 = 167.13 : x
  2. Step 2: Convert to fraction form
    202.23/278.42 = 167.13/x
  3. Step 3: Cross multiply
    202.23x = 278.42 × 167.13
  4. Step 4: Simplify right side
    202.23x = 46,531.50
  5. Step 5: Solve for x
    x = 46,531.50/202.23
  6. Step 6: Final answer
    x = 230.09

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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.