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Finding the Fourth Proportional to 210.32, 289.96 and 166.80

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Solution

The fourth proportional to 210.32, 289.96 and 166.80 is: 229.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.32 : 289.96 = 166.80 : x
  2. Step 2: Convert to fraction form
    210.32/289.96 = 166.80/x
  3. Step 3: Cross multiply
    210.32x = 289.96 × 166.80
  4. Step 4: Simplify right side
    210.32x = 48,365.33
  5. Step 5: Solve for x
    x = 48,365.33/210.32
  6. Step 6: Final answer
    x = 229.96

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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.