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Finding the Fourth Proportional to 170.03, 233.11 and 165.44

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Solution

The fourth proportional to 170.03, 233.11 and 165.44 is: 226.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.03 : 233.11 = 165.44 : x
  2. Step 2: Convert to fraction form
    170.03/233.11 = 165.44/x
  3. Step 3: Cross multiply
    170.03x = 233.11 × 165.44
  4. Step 4: Simplify right side
    170.03x = 38,566.51
  5. Step 5: Solve for x
    x = 38,566.51/170.03
  6. Step 6: Final answer
    x = 226.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.