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Finding the Fourth Proportional to 315.85, 435.74 and 205.34

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Solution

The fourth proportional to 315.85, 435.74 and 205.34 is: 283.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.85 : 435.74 = 205.34 : x
  2. Step 2: Convert to fraction form
    315.85/435.74 = 205.34/x
  3. Step 3: Cross multiply
    315.85x = 435.74 × 205.34
  4. Step 4: Simplify right side
    315.85x = 89,474.85
  5. Step 5: Solve for x
    x = 89,474.85/315.85
  6. Step 6: Final answer
    x = 283.28

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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.