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Finding the Fourth Proportional to 297.47, 446.06 and 193.18

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Solution

The fourth proportional to 297.47, 446.06 and 193.18 is: 289.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.47 : 446.06 = 193.18 : x
  2. Step 2: Convert to fraction form
    297.47/446.06 = 193.18/x
  3. Step 3: Cross multiply
    297.47x = 446.06 × 193.18
  4. Step 4: Simplify right side
    297.47x = 86,169.87
  5. Step 5: Solve for x
    x = 86,169.87/297.47
  6. Step 6: Final answer
    x = 289.68

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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.