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Finding the Fourth Proportional to 233.06, 349.66 and 189.62

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Solution

The fourth proportional to 233.06, 349.66 and 189.62 is: 284.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.06 : 349.66 = 189.62 : x
  2. Step 2: Convert to fraction form
    233.06/349.66 = 189.62/x
  3. Step 3: Cross multiply
    233.06x = 349.66 × 189.62
  4. Step 4: Simplify right side
    233.06x = 66,301.58
  5. Step 5: Solve for x
    x = 66,301.58/233.06
  6. Step 6: Final answer
    x = 284.48

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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.