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Finding the Fourth Proportional to 214.25, 320.68 and 148.91

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Solution

The fourth proportional to 214.25, 320.68 and 148.91 is: 222.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.25 : 320.68 = 148.91 : x
  2. Step 2: Convert to fraction form
    214.25/320.68 = 148.91/x
  3. Step 3: Cross multiply
    214.25x = 320.68 × 148.91
  4. Step 4: Simplify right side
    214.25x = 47,750.20
  5. Step 5: Solve for x
    x = 47,750.20/214.25
  6. Step 6: Final answer
    x = 222.88

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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.