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Finding the Fourth Proportional to 174.16, 259.19 and 167.68

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Solution

The fourth proportional to 174.16, 259.19 and 167.68 is: 249.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.16 : 259.19 = 167.68 : x
  2. Step 2: Convert to fraction form
    174.16/259.19 = 167.68/x
  3. Step 3: Cross multiply
    174.16x = 259.19 × 167.68
  4. Step 4: Simplify right side
    174.16x = 43,459.49
  5. Step 5: Solve for x
    x = 43,459.49/174.16
  6. Step 6: Final answer
    x = 249.54

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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.