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Finding the Fourth Proportional to 297.87, 446.82 and 135.45

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Solution

The fourth proportional to 297.87, 446.82 and 135.45 is: 203.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.87 : 446.82 = 135.45 : x
  2. Step 2: Convert to fraction form
    297.87/446.82 = 135.45/x
  3. Step 3: Cross multiply
    297.87x = 446.82 × 135.45
  4. Step 4: Simplify right side
    297.87x = 60,521.77
  5. Step 5: Solve for x
    x = 60,521.77/297.87
  6. Step 6: Final answer
    x = 203.18

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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.