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Finding the Fourth Proportional to 233.82, 350.10 and 156.78

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Solution

The fourth proportional to 233.82, 350.10 and 156.78 is: 234.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.82 : 350.10 = 156.78 : x
  2. Step 2: Convert to fraction form
    233.82/350.10 = 156.78/x
  3. Step 3: Cross multiply
    233.82x = 350.10 × 156.78
  4. Step 4: Simplify right side
    233.82x = 54,888.68
  5. Step 5: Solve for x
    x = 54,888.68/233.82
  6. Step 6: Final answer
    x = 234.75

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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.