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Finding the Fourth Proportional to 236.03, 353.77 and 178.07

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Solution

The fourth proportional to 236.03, 353.77 and 178.07 is: 266.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.03 : 353.77 = 178.07 : x
  2. Step 2: Convert to fraction form
    236.03/353.77 = 178.07/x
  3. Step 3: Cross multiply
    236.03x = 353.77 × 178.07
  4. Step 4: Simplify right side
    236.03x = 62,993.61
  5. Step 5: Solve for x
    x = 62,993.61/236.03
  6. Step 6: Final answer
    x = 266.89

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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.