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Finding the Fourth Proportional to 214.20, 320.82 and 150.36

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Solution

The fourth proportional to 214.20, 320.82 and 150.36 is: 225.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.20 : 320.82 = 150.36 : x
  2. Step 2: Convert to fraction form
    214.20/320.82 = 150.36/x
  3. Step 3: Cross multiply
    214.20x = 320.82 × 150.36
  4. Step 4: Simplify right side
    214.20x = 48,238.50
  5. Step 5: Solve for x
    x = 48,238.50/214.20
  6. Step 6: Final answer
    x = 225.20

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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.