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Finding the Fourth Proportional to 214.14, 321.34 and 148.92

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Solution

The fourth proportional to 214.14, 321.34 and 148.92 is: 223.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.14 : 321.34 = 148.92 : x
  2. Step 2: Convert to fraction form
    214.14/321.34 = 148.92/x
  3. Step 3: Cross multiply
    214.14x = 321.34 × 148.92
  4. Step 4: Simplify right side
    214.14x = 47,853.95
  5. Step 5: Solve for x
    x = 47,853.95/214.14
  6. Step 6: Final answer
    x = 223.47

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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.