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Finding the Fourth Proportional to 211, 291.20 and 166.80

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Solution

The fourth proportional to 211, 291.20 and 166.80 is: 230.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    211 : 291.20 = 166.80 : x
  2. Step 2: Convert to fraction form
    211/291.20 = 166.80/x
  3. Step 3: Cross multiply
    211x = 291.20 × 166.80
  4. Step 4: Simplify right side
    211x = 48,572.16
  5. Step 5: Solve for x
    x = 48,572.16/211
  6. Step 6: Final answer
    x = 230.20

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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.