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Finding the Fourth Proportional to 214.22, 320.76 and 149.03

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Solution

The fourth proportional to 214.22, 320.76 and 149.03 is: 223.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.22 : 320.76 = 149.03 : x
  2. Step 2: Convert to fraction form
    214.22/320.76 = 149.03/x
  3. Step 3: Cross multiply
    214.22x = 320.76 × 149.03
  4. Step 4: Simplify right side
    214.22x = 47,801.26
  5. Step 5: Solve for x
    x = 47,801.26/214.22
  6. Step 6: Final answer
    x = 223.15

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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.