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Finding the Fourth Proportional to 275.18, 412.78 and 214.14

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Solution

The fourth proportional to 275.18, 412.78 and 214.14 is: 321.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.18 : 412.78 = 214.14 : x
  2. Step 2: Convert to fraction form
    275.18/412.78 = 214.14/x
  3. Step 3: Cross multiply
    275.18x = 412.78 × 214.14
  4. Step 4: Simplify right side
    275.18x = 88,392.71
  5. Step 5: Solve for x
    x = 88,392.71/275.18
  6. Step 6: Final answer
    x = 321.22

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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.