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Finding the Fourth Proportional to 234.06, 322.95 and 140.86

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Solution

The fourth proportional to 234.06, 322.95 and 140.86 is: 194.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.06 : 322.95 = 140.86 : x
  2. Step 2: Convert to fraction form
    234.06/322.95 = 140.86/x
  3. Step 3: Cross multiply
    234.06x = 322.95 × 140.86
  4. Step 4: Simplify right side
    234.06x = 45,490.74
  5. Step 5: Solve for x
    x = 45,490.74/234.06
  6. Step 6: Final answer
    x = 194.36

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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.