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Finding the Fourth Proportional to 191.35, 285.00 and 190.42

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Solution

The fourth proportional to 191.35, 285.00 and 190.42 is: 283.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.35 : 285.00 = 190.42 : x
  2. Step 2: Convert to fraction form
    191.35/285.00 = 190.42/x
  3. Step 3: Cross multiply
    191.35x = 285.00 × 190.42
  4. Step 4: Simplify right side
    191.35x = 54,268.27
  5. Step 5: Solve for x
    x = 54,268.27/191.35
  6. Step 6: Final answer
    x = 283.61

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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.