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Finding the Fourth Proportional to 233.98, 350.78 and 97.13

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Solution

The fourth proportional to 233.98, 350.78 and 97.13 is: 145.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.98 : 350.78 = 97.13 : x
  2. Step 2: Convert to fraction form
    233.98/350.78 = 97.13/x
  3. Step 3: Cross multiply
    233.98x = 350.78 × 97.13
  4. Step 4: Simplify right side
    233.98x = 34,069.39
  5. Step 5: Solve for x
    x = 34,069.39/233.98
  6. Step 6: Final answer
    x = 145.61

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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.