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Finding the Fourth Proportional to 316.02, 435.73 and 205.45

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Solution

The fourth proportional to 316.02, 435.73 and 205.45 is: 283.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.02 : 435.73 = 205.45 : x
  2. Step 2: Convert to fraction form
    316.02/435.73 = 205.45/x
  3. Step 3: Cross multiply
    316.02x = 435.73 × 205.45
  4. Step 4: Simplify right side
    316.02x = 89,520.73
  5. Step 5: Solve for x
    x = 89,520.73/316.02
  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.