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Finding the Fourth Proportional to 162.52, 225.84 and 160.85

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Solution

The fourth proportional to 162.52, 225.84 and 160.85 is: 223.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.52 : 225.84 = 160.85 : x
  2. Step 2: Convert to fraction form
    162.52/225.84 = 160.85/x
  3. Step 3: Cross multiply
    162.52x = 225.84 × 160.85
  4. Step 4: Simplify right side
    162.52x = 36,326.36
  5. Step 5: Solve for x
    x = 36,326.36/162.52
  6. Step 6: Final answer
    x = 223.52

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.