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Finding the Fourth Proportional to 303.60, 455.22 and 108.48

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Solution

The fourth proportional to 303.60, 455.22 and 108.48 is: 162.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.60 : 455.22 = 108.48 : x
  2. Step 2: Convert to fraction form
    303.60/455.22 = 108.48/x
  3. Step 3: Cross multiply
    303.60x = 455.22 × 108.48
  4. Step 4: Simplify right side
    303.60x = 49,382.27
  5. Step 5: Solve for x
    x = 49,382.27/303.60
  6. Step 6: Final answer
    x = 162.66

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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.