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Finding the Fourth Proportional to 214.37, 320.97 and 149.30

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Solution

The fourth proportional to 214.37, 320.97 and 149.30 is: 223.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.37 : 320.97 = 149.30 : x
  2. Step 2: Convert to fraction form
    214.37/320.97 = 149.30/x
  3. Step 3: Cross multiply
    214.37x = 320.97 × 149.30
  4. Step 4: Simplify right side
    214.37x = 47,920.82
  5. Step 5: Solve for x
    x = 47,920.82/214.37
  6. Step 6: Final answer
    x = 223.54

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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.