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Finding the Fourth Proportional to 297.66, 446.72 and 189.68

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Solution

The fourth proportional to 297.66, 446.72 and 189.68 is: 284.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.66 : 446.72 = 189.68 : x
  2. Step 2: Convert to fraction form
    297.66/446.72 = 189.68/x
  3. Step 3: Cross multiply
    297.66x = 446.72 × 189.68
  4. Step 4: Simplify right side
    297.66x = 84,730.67
  5. Step 5: Solve for x
    x = 84,730.67/297.66
  6. Step 6: Final answer
    x = 284.66

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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.