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Finding the Fourth Proportional to 370.97, 511.90 and 205.16

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Solution

The fourth proportional to 370.97, 511.90 and 205.16 is: 283.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.97 : 511.90 = 205.16 : x
  2. Step 2: Convert to fraction form
    370.97/511.90 = 205.16/x
  3. Step 3: Cross multiply
    370.97x = 511.90 × 205.16
  4. Step 4: Simplify right side
    370.97x = 105,022.37
  5. Step 5: Solve for x
    x = 105,022.37/370.97
  6. Step 6: Final answer
    x = 283.10

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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.