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Finding the Fourth Proportional to 314.56, 470.74 and 191.09

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Solution

The fourth proportional to 314.56, 470.74 and 191.09 is: 285.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.56 : 470.74 = 191.09 : x
  2. Step 2: Convert to fraction form
    314.56/470.74 = 191.09/x
  3. Step 3: Cross multiply
    314.56x = 470.74 × 191.09
  4. Step 4: Simplify right side
    314.56x = 89,953.71
  5. Step 5: Solve for x
    x = 89,953.71/314.56
  6. Step 6: Final answer
    x = 285.97

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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.