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Finding the Fourth Proportional to 297.99, 446.70 and 135.63

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Solution

The fourth proportional to 297.99, 446.70 and 135.63 is: 203.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.99 : 446.70 = 135.63 : x
  2. Step 2: Convert to fraction form
    297.99/446.70 = 135.63/x
  3. Step 3: Cross multiply
    297.99x = 446.70 × 135.63
  4. Step 4: Simplify right side
    297.99x = 60,585.92
  5. Step 5: Solve for x
    x = 60,585.92/297.99
  6. Step 6: Final answer
    x = 203.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.