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Finding the Fourth Proportional to 191.72, 285.70 and 190.64

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Solution

The fourth proportional to 191.72, 285.70 and 190.64 is: 284.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.72 : 285.70 = 190.64 : x
  2. Step 2: Convert to fraction form
    191.72/285.70 = 190.64/x
  3. Step 3: Cross multiply
    191.72x = 285.70 × 190.64
  4. Step 4: Simplify right side
    191.72x = 54,465.85
  5. Step 5: Solve for x
    x = 54,465.85/191.72
  6. Step 6: Final answer
    x = 284.09

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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.