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Finding the Fourth Proportional to 166.24, 229 and 160.32

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Solution

The fourth proportional to 166.24, 229 and 160.32 is: 220.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.24 : 229 = 160.32 : x
  2. Step 2: Convert to fraction form
    166.24/229 = 160.32/x
  3. Step 3: Cross multiply
    166.24x = 229 × 160.32
  4. Step 4: Simplify right side
    166.24x = 36,713.28
  5. Step 5: Solve for x
    x = 36,713.28/166.24
  6. Step 6: Final answer
    x = 220.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.