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Finding the Fourth Proportional to 192.78, 266.00 and 109.86

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Solution

The fourth proportional to 192.78, 266.00 and 109.86 is: 151.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.78 : 266.00 = 109.86 : x
  2. Step 2: Convert to fraction form
    192.78/266.00 = 109.86/x
  3. Step 3: Cross multiply
    192.78x = 266.00 × 109.86
  4. Step 4: Simplify right side
    192.78x = 29,222.21
  5. Step 5: Solve for x
    x = 29,222.21/192.78
  6. Step 6: Final answer
    x = 151.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.