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Finding the Fourth Proportional to 213.90, 321.18 and 177.66

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Solution

The fourth proportional to 213.90, 321.18 and 177.66 is: 266.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.90 : 321.18 = 177.66 : x
  2. Step 2: Convert to fraction form
    213.90/321.18 = 177.66/x
  3. Step 3: Cross multiply
    213.90x = 321.18 × 177.66
  4. Step 4: Simplify right side
    213.90x = 57,060.84
  5. Step 5: Solve for x
    x = 57,060.84/213.90
  6. Step 6: Final answer
    x = 266.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.