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Finding the Fourth Proportional to 192.50, 265.66 and 109.61

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Solution

The fourth proportional to 192.50, 265.66 and 109.61 is: 151.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.50 : 265.66 = 109.61 : x
  2. Step 2: Convert to fraction form
    192.50/265.66 = 109.61/x
  3. Step 3: Cross multiply
    192.50x = 265.66 × 109.61
  4. Step 4: Simplify right side
    192.50x = 29,118.99
  5. Step 5: Solve for x
    x = 29,118.99/192.50
  6. Step 6: Final answer
    x = 151.27

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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.