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Finding the Fourth Proportional to 234.95, 324.19 and 150.95

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Solution

The fourth proportional to 234.95, 324.19 and 150.95 is: 208.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.95 : 324.19 = 150.95 : x
  2. Step 2: Convert to fraction form
    234.95/324.19 = 150.95/x
  3. Step 3: Cross multiply
    234.95x = 324.19 × 150.95
  4. Step 4: Simplify right side
    234.95x = 48,935.33
  5. Step 5: Solve for x
    x = 48,935.33/234.95
  6. Step 6: Final answer
    x = 208.28

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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.