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Finding the Fourth Proportional to 192.10, 285.96 and 191.06

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Solution

The fourth proportional to 192.10, 285.96 and 191.06 is: 284.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.10 : 285.96 = 191.06 : x
  2. Step 2: Convert to fraction form
    192.10/285.96 = 191.06/x
  3. Step 3: Cross multiply
    192.10x = 285.96 × 191.06
  4. Step 4: Simplify right side
    192.10x = 54,634.26
  5. Step 5: Solve for x
    x = 54,634.26/192.10
  6. Step 6: Final answer
    x = 284.41

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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.