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Finding the Fourth Proportional to 314.50, 470.76 and 198.54

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Solution

The fourth proportional to 314.50, 470.76 and 198.54 is: 297.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.50 : 470.76 = 198.54 : x
  2. Step 2: Convert to fraction form
    314.50/470.76 = 198.54/x
  3. Step 3: Cross multiply
    314.50x = 470.76 × 198.54
  4. Step 4: Simplify right side
    314.50x = 93,464.69
  5. Step 5: Solve for x
    x = 93,464.69/314.50
  6. Step 6: Final answer
    x = 297.19

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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.