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Finding the Fourth Proportional to 234.18, 322.43 and 199.14

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Solution

The fourth proportional to 234.18, 322.43 and 199.14 is: 274.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.18 : 322.43 = 199.14 : x
  2. Step 2: Convert to fraction form
    234.18/322.43 = 199.14/x
  3. Step 3: Cross multiply
    234.18x = 322.43 × 199.14
  4. Step 4: Simplify right side
    234.18x = 64,208.71
  5. Step 5: Solve for x
    x = 64,208.71/234.18
  6. Step 6: Final answer
    x = 274.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.