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Finding the Fourth Proportional to 297.94, 446.31 and 205.10

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Solution

The fourth proportional to 297.94, 446.31 and 205.10 is: 307.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.94 : 446.31 = 205.10 : x
  2. Step 2: Convert to fraction form
    297.94/446.31 = 205.10/x
  3. Step 3: Cross multiply
    297.94x = 446.31 × 205.10
  4. Step 4: Simplify right side
    297.94x = 91,538.18
  5. Step 5: Solve for x
    x = 91,538.18/297.94
  6. Step 6: Final answer
    x = 307.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.