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Finding the Fourth Proportional to 191.33, 285.12 and 186.05

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Solution

The fourth proportional to 191.33, 285.12 and 186.05 is: 277.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.33 : 285.12 = 186.05 : x
  2. Step 2: Convert to fraction form
    191.33/285.12 = 186.05/x
  3. Step 3: Cross multiply
    191.33x = 285.12 × 186.05
  4. Step 4: Simplify right side
    191.33x = 53,046.58
  5. Step 5: Solve for x
    x = 53,046.58/191.33
  6. Step 6: Final answer
    x = 277.25

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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.