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Finding the Fourth Proportional to 170.22, 254.05 and 153.82

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Solution

The fourth proportional to 170.22, 254.05 and 153.82 is: 229.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.22 : 254.05 = 153.82 : x
  2. Step 2: Convert to fraction form
    170.22/254.05 = 153.82/x
  3. Step 3: Cross multiply
    170.22x = 254.05 × 153.82
  4. Step 4: Simplify right side
    170.22x = 39,078.77
  5. Step 5: Solve for x
    x = 39,078.77/170.22
  6. Step 6: Final answer
    x = 229.57

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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.