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Finding the Fourth Proportional to 291.22, 436.36 and 233.14

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Solution

The fourth proportional to 291.22, 436.36 and 233.14 is: 349.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.22 : 436.36 = 233.14 : x
  2. Step 2: Convert to fraction form
    291.22/436.36 = 233.14/x
  3. Step 3: Cross multiply
    291.22x = 436.36 × 233.14
  4. Step 4: Simplify right side
    291.22x = 101,732.97
  5. Step 5: Solve for x
    x = 101,732.97/291.22
  6. Step 6: Final answer
    x = 349.33

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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.