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Finding the Fourth Proportional to 214.74, 321.15 and 210.90

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Solution

The fourth proportional to 214.74, 321.15 and 210.90 is: 315.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.74 : 321.15 = 210.90 : x
  2. Step 2: Convert to fraction form
    214.74/321.15 = 210.90/x
  3. Step 3: Cross multiply
    214.74x = 321.15 × 210.90
  4. Step 4: Simplify right side
    214.74x = 67,730.54
  5. Step 5: Solve for x
    x = 67,730.54/214.74
  6. Step 6: Final answer
    x = 315.41

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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.