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Finding the Fourth Proportional to 297.32, 446.04 and 206.06

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Solution

The fourth proportional to 297.32, 446.04 and 206.06 is: 309.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.32 : 446.04 = 206.06 : x
  2. Step 2: Convert to fraction form
    297.32/446.04 = 206.06/x
  3. Step 3: Cross multiply
    297.32x = 446.04 × 206.06
  4. Step 4: Simplify right side
    297.32x = 91,908.77
  5. Step 5: Solve for x
    x = 91,908.77/297.32
  6. Step 6: Final answer
    x = 309.13

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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.