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Finding the Fourth Proportional to 233.74, 350.25 and 89.38

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Solution

The fourth proportional to 233.74, 350.25 and 89.38 is: 133.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.74 : 350.25 = 89.38 : x
  2. Step 2: Convert to fraction form
    233.74/350.25 = 89.38/x
  3. Step 3: Cross multiply
    233.74x = 350.25 × 89.38
  4. Step 4: Simplify right side
    233.74x = 31,305.35
  5. Step 5: Solve for x
    x = 31,305.35/233.74
  6. Step 6: Final answer
    x = 133.93

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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.