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Finding the Fourth Proportional to 167.86, 253.69 and 167.86

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Solution

The fourth proportional to 167.86, 253.69 and 167.86 is: 253.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.86 : 253.69 = 167.86 : x
  2. Step 2: Convert to fraction form
    167.86/253.69 = 167.86/x
  3. Step 3: Cross multiply
    167.86x = 253.69 × 167.86
  4. Step 4: Simplify right side
    167.86x = 42,584.40
  5. Step 5: Solve for x
    x = 42,584.40/167.86
  6. Step 6: Final answer
    x = 253.69

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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.