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Finding the Fourth Proportional to 266.86, 398.22 and 236.10

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Solution

The fourth proportional to 266.86, 398.22 and 236.10 is: 352.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.86 : 398.22 = 236.10 : x
  2. Step 2: Convert to fraction form
    266.86/398.22 = 236.10/x
  3. Step 3: Cross multiply
    266.86x = 398.22 × 236.10
  4. Step 4: Simplify right side
    266.86x = 94,021.24
  5. Step 5: Solve for x
    x = 94,021.24/266.86
  6. Step 6: Final answer
    x = 352.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.