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Finding the Fourth Proportional to 214.90, 322.23 and 189.28

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Solution

The fourth proportional to 214.90, 322.23 and 189.28 is: 283.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.90 : 322.23 = 189.28 : x
  2. Step 2: Convert to fraction form
    214.90/322.23 = 189.28/x
  3. Step 3: Cross multiply
    214.90x = 322.23 × 189.28
  4. Step 4: Simplify right side
    214.90x = 60,991.69
  5. Step 5: Solve for x
    x = 60,991.69/214.90
  6. Step 6: Final answer
    x = 283.81

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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.