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Finding the Fourth Proportional to 187.69, 279.67 and 167.24

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Solution

The fourth proportional to 187.69, 279.67 and 167.24 is: 249.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.69 : 279.67 = 167.24 : x
  2. Step 2: Convert to fraction form
    187.69/279.67 = 167.24/x
  3. Step 3: Cross multiply
    187.69x = 279.67 × 167.24
  4. Step 4: Simplify right side
    187.69x = 46,771.17
  5. Step 5: Solve for x
    x = 46,771.17/187.69
  6. Step 6: Final answer
    x = 249.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.