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Finding the Fourth Proportional to 175.51, 262.16 and 167.68

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Solution

The fourth proportional to 175.51, 262.16 and 167.68 is: 250.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.51 : 262.16 = 167.68 : x
  2. Step 2: Convert to fraction form
    175.51/262.16 = 167.68/x
  3. Step 3: Cross multiply
    175.51x = 262.16 × 167.68
  4. Step 4: Simplify right side
    175.51x = 43,958.99
  5. Step 5: Solve for x
    x = 43,958.99/175.51
  6. Step 6: Final answer
    x = 250.46

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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.