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Finding the Fourth Proportional to 234.04, 351.18 and 118.42

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Solution

The fourth proportional to 234.04, 351.18 and 118.42 is: 177.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.04 : 351.18 = 118.42 : x
  2. Step 2: Convert to fraction form
    234.04/351.18 = 118.42/x
  3. Step 3: Cross multiply
    234.04x = 351.18 × 118.42
  4. Step 4: Simplify right side
    234.04x = 41,586.74
  5. Step 5: Solve for x
    x = 41,586.74/234.04
  6. Step 6: Final answer
    x = 177.69

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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.