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Finding the Fourth Proportional to 214.20, 320.49 and 162.66

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Solution

The fourth proportional to 214.20, 320.49 and 162.66 is: 243.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.20 : 320.49 = 162.66 : x
  2. Step 2: Convert to fraction form
    214.20/320.49 = 162.66/x
  3. Step 3: Cross multiply
    214.20x = 320.49 × 162.66
  4. Step 4: Simplify right side
    214.20x = 52,130.90
  5. Step 5: Solve for x
    x = 52,130.90/214.20
  6. Step 6: Final answer
    x = 243.37

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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.