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Finding the Fourth Proportional to 303.00, 454.53 and 107.96

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Solution

The fourth proportional to 303.00, 454.53 and 107.96 is: 161.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.00 : 454.53 = 107.96 : x
  2. Step 2: Convert to fraction form
    303.00/454.53 = 107.96/x
  3. Step 3: Cross multiply
    303.00x = 454.53 × 107.96
  4. Step 4: Simplify right side
    303.00x = 49,068.25
  5. Step 5: Solve for x
    x = 49,068.25/303.00
  6. Step 6: Final answer
    x = 161.94

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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.