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Finding the Fourth Proportional to 298.51, 447.75 and 79.12

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Solution

The fourth proportional to 298.51, 447.75 and 79.12 is: 118.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.51 : 447.75 = 79.12 : x
  2. Step 2: Convert to fraction form
    298.51/447.75 = 79.12/x
  3. Step 3: Cross multiply
    298.51x = 447.75 × 79.12
  4. Step 4: Simplify right side
    298.51x = 35,425.98
  5. Step 5: Solve for x
    x = 35,425.98/298.51
  6. Step 6: Final answer
    x = 118.68

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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.