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Finding the Fourth Proportional to 315.81, 435.36 and 205.26

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Solution

The fourth proportional to 315.81, 435.36 and 205.26 is: 282.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.81 : 435.36 = 205.26 : x
  2. Step 2: Convert to fraction form
    315.81/435.36 = 205.26/x
  3. Step 3: Cross multiply
    315.81x = 435.36 × 205.26
  4. Step 4: Simplify right side
    315.81x = 89,361.99
  5. Step 5: Solve for x
    x = 89,361.99/315.81
  6. Step 6: Final answer
    x = 282.96

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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.