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Finding the Fourth Proportional to 315.76, 435.63 and 199.12

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Solution

The fourth proportional to 315.76, 435.63 and 199.12 is: 274.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.76 : 435.63 = 199.12 : x
  2. Step 2: Convert to fraction form
    315.76/435.63 = 199.12/x
  3. Step 3: Cross multiply
    315.76x = 435.63 × 199.12
  4. Step 4: Simplify right side
    315.76x = 86,742.65
  5. Step 5: Solve for x
    x = 86,742.65/315.76
  6. Step 6: Final answer
    x = 274.71

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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.