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Finding the Fourth Proportional to 214.78, 322 and 106.49

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Solution

The fourth proportional to 214.78, 322 and 106.49 is: 159.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.78 : 322 = 106.49 : x
  2. Step 2: Convert to fraction form
    214.78/322 = 106.49/x
  3. Step 3: Cross multiply
    214.78x = 322 × 106.49
  4. Step 4: Simplify right side
    214.78x = 34,289.78
  5. Step 5: Solve for x
    x = 34,289.78/214.78
  6. Step 6: Final answer
    x = 159.65

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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.