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Finding the Fourth Proportional to 184.72, 278.38 and 167.38

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Solution

The fourth proportional to 184.72, 278.38 and 167.38 is: 252.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.72 : 278.38 = 167.38 : x
  2. Step 2: Convert to fraction form
    184.72/278.38 = 167.38/x
  3. Step 3: Cross multiply
    184.72x = 278.38 × 167.38
  4. Step 4: Simplify right side
    184.72x = 46,595.24
  5. Step 5: Solve for x
    x = 46,595.24/184.72
  6. Step 6: Final answer
    x = 252.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.