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Finding the Fourth Proportional to 236.22, 353.97 and 175.07

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Solution

The fourth proportional to 236.22, 353.97 and 175.07 is: 262.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.22 : 353.97 = 175.07 : x
  2. Step 2: Convert to fraction form
    236.22/353.97 = 175.07/x
  3. Step 3: Cross multiply
    236.22x = 353.97 × 175.07
  4. Step 4: Simplify right side
    236.22x = 61,967.76
  5. Step 5: Solve for x
    x = 61,967.76/236.22
  6. Step 6: Final answer
    x = 262.33

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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.