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Finding the Fourth Proportional to 233.64, 350.21 and 89.33

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Solution

The fourth proportional to 233.64, 350.21 and 89.33 is: 133.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.64 : 350.21 = 89.33 : x
  2. Step 2: Convert to fraction form
    233.64/350.21 = 89.33/x
  3. Step 3: Cross multiply
    233.64x = 350.21 × 89.33
  4. Step 4: Simplify right side
    233.64x = 31,282.06
  5. Step 5: Solve for x
    x = 31,282.06/233.64
  6. Step 6: Final answer
    x = 133.89

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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.