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Finding the Fourth Proportional to 191.05, 284.36 and 186.80

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Solution

The fourth proportional to 191.05, 284.36 and 186.80 is: 278.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.05 : 284.36 = 186.80 : x
  2. Step 2: Convert to fraction form
    191.05/284.36 = 186.80/x
  3. Step 3: Cross multiply
    191.05x = 284.36 × 186.80
  4. Step 4: Simplify right side
    191.05x = 53,117.98
  5. Step 5: Solve for x
    x = 53,117.98/191.05
  6. Step 6: Final answer
    x = 278.03

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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.