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Finding the Fourth Proportional to 212.09, 318.35 and 178.21

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Solution

The fourth proportional to 212.09, 318.35 and 178.21 is: 267.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.09 : 318.35 = 178.21 : x
  2. Step 2: Convert to fraction form
    212.09/318.35 = 178.21/x
  3. Step 3: Cross multiply
    212.09x = 318.35 × 178.21
  4. Step 4: Simplify right side
    212.09x = 56,734.00
  5. Step 5: Solve for x
    x = 56,734.00/212.09
  6. Step 6: Final answer
    x = 267.51

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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.