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Finding the Fourth Proportional to 297.86, 446.88 and 102.89

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Solution

The fourth proportional to 297.86, 446.88 and 102.89 is: 154.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.86 : 446.88 = 102.89 : x
  2. Step 2: Convert to fraction form
    297.86/446.88 = 102.89/x
  3. Step 3: Cross multiply
    297.86x = 446.88 × 102.89
  4. Step 4: Simplify right side
    297.86x = 45,977.25
  5. Step 5: Solve for x
    x = 45,977.25/297.86
  6. Step 6: Final answer
    x = 154.36

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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.