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Finding the Fourth Proportional to 303.98, 455.70 and 108.84

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Solution

The fourth proportional to 303.98, 455.70 and 108.84 is: 163.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.98 : 455.70 = 108.84 : x
  2. Step 2: Convert to fraction form
    303.98/455.70 = 108.84/x
  3. Step 3: Cross multiply
    303.98x = 455.70 × 108.84
  4. Step 4: Simplify right side
    303.98x = 49,598.39
  5. Step 5: Solve for x
    x = 49,598.39/303.98
  6. Step 6: Final answer
    x = 163.16

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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.