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Finding the Fourth Proportional to 314.07, 470.94 and 198.60

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Solution

The fourth proportional to 314.07, 470.94 and 198.60 is: 297.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.07 : 470.94 = 198.60 : x
  2. Step 2: Convert to fraction form
    314.07/470.94 = 198.60/x
  3. Step 3: Cross multiply
    314.07x = 470.94 × 198.60
  4. Step 4: Simplify right side
    314.07x = 93,528.68
  5. Step 5: Solve for x
    x = 93,528.68/314.07
  6. Step 6: Final answer
    x = 297.80

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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.