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Finding the Fourth Proportional to 214.92, 322.20 and 112.23

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Solution

The fourth proportional to 214.92, 322.20 and 112.23 is: 168.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.92 : 322.20 = 112.23 : x
  2. Step 2: Convert to fraction form
    214.92/322.20 = 112.23/x
  3. Step 3: Cross multiply
    214.92x = 322.20 × 112.23
  4. Step 4: Simplify right side
    214.92x = 36,160.51
  5. Step 5: Solve for x
    x = 36,160.51/214.92
  6. Step 6: Final answer
    x = 168.25

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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.