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Finding the Fourth Proportional to 297.90, 446.85 and 189.77

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Solution

The fourth proportional to 297.90, 446.85 and 189.77 is: 284.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.90 : 446.85 = 189.77 : x
  2. Step 2: Convert to fraction form
    297.90/446.85 = 189.77/x
  3. Step 3: Cross multiply
    297.90x = 446.85 × 189.77
  4. Step 4: Simplify right side
    297.90x = 84,796.49
  5. Step 5: Solve for x
    x = 84,796.49/297.90
  6. Step 6: Final answer
    x = 284.65

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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.