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Finding the Fourth Proportional to 314.69, 471.83 and 192.78

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Solution

The fourth proportional to 314.69, 471.83 and 192.78 is: 289.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.69 : 471.83 = 192.78 : x
  2. Step 2: Convert to fraction form
    314.69/471.83 = 192.78/x
  3. Step 3: Cross multiply
    314.69x = 471.83 × 192.78
  4. Step 4: Simplify right side
    314.69x = 90,958.42
  5. Step 5: Solve for x
    x = 90,958.42/314.69
  6. Step 6: Final answer
    x = 289.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.