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Finding the Fourth Proportional to 210.24, 289.96 and 166.48

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Solution

The fourth proportional to 210.24, 289.96 and 166.48 is: 229.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.24 : 289.96 = 166.48 : x
  2. Step 2: Convert to fraction form
    210.24/289.96 = 166.48/x
  3. Step 3: Cross multiply
    210.24x = 289.96 × 166.48
  4. Step 4: Simplify right side
    210.24x = 48,272.54
  5. Step 5: Solve for x
    x = 48,272.54/210.24
  6. Step 6: Final answer
    x = 229.61

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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.