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Finding the Fourth Proportional to 175.67, 262.22 and 161.22

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Solution

The fourth proportional to 175.67, 262.22 and 161.22 is: 240.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.67 : 262.22 = 161.22 : x
  2. Step 2: Convert to fraction form
    175.67/262.22 = 161.22/x
  3. Step 3: Cross multiply
    175.67x = 262.22 × 161.22
  4. Step 4: Simplify right side
    175.67x = 42,275.51
  5. Step 5: Solve for x
    x = 42,275.51/175.67
  6. Step 6: Final answer
    x = 240.66

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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.