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Finding the Fourth Proportional to 315.20, 435.04 and 198.74

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Solution

The fourth proportional to 315.20, 435.04 and 198.74 is: 274.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.20 : 435.04 = 198.74 : x
  2. Step 2: Convert to fraction form
    315.20/435.04 = 198.74/x
  3. Step 3: Cross multiply
    315.20x = 435.04 × 198.74
  4. Step 4: Simplify right side
    315.20x = 86,457.18
  5. Step 5: Solve for x
    x = 86,457.18/315.20
  6. Step 6: Final answer
    x = 274.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.