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Finding the Fourth Proportional to 212.83, 319.14 and 178.61

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Solution

The fourth proportional to 212.83, 319.14 and 178.61 is: 267.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.83 : 319.14 = 178.61 : x
  2. Step 2: Convert to fraction form
    212.83/319.14 = 178.61/x
  3. Step 3: Cross multiply
    212.83x = 319.14 × 178.61
  4. Step 4: Simplify right side
    212.83x = 57,000.00
  5. Step 5: Solve for x
    x = 57,000.00/212.83
  6. Step 6: Final answer
    x = 267.82

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Why These Related Problems?

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