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Finding the Fourth Proportional to 202.08, 278.42 and 167.04

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Solution

The fourth proportional to 202.08, 278.42 and 167.04 is: 230.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.08 : 278.42 = 167.04 : x
  2. Step 2: Convert to fraction form
    202.08/278.42 = 167.04/x
  3. Step 3: Cross multiply
    202.08x = 278.42 × 167.04
  4. Step 4: Simplify right side
    202.08x = 46,507.28
  5. Step 5: Solve for x
    x = 46,507.28/202.08
  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.