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Finding the Fourth Proportional to 199.61, 275.49 and 192.86

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Solution

The fourth proportional to 199.61, 275.49 and 192.86 is: 266.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.61 : 275.49 = 192.86 : x
  2. Step 2: Convert to fraction form
    199.61/275.49 = 192.86/x
  3. Step 3: Cross multiply
    199.61x = 275.49 × 192.86
  4. Step 4: Simplify right side
    199.61x = 53,129.62
  5. Step 5: Solve for x
    x = 53,129.62/199.61
  6. Step 6: Final answer
    x = 266.17

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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.