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Finding the Fourth Proportional to 298.53, 447.96 and 116.07

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Solution

The fourth proportional to 298.53, 447.96 and 116.07 is: 174.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.53 : 447.96 = 116.07 : x
  2. Step 2: Convert to fraction form
    298.53/447.96 = 116.07/x
  3. Step 3: Cross multiply
    298.53x = 447.96 × 116.07
  4. Step 4: Simplify right side
    298.53x = 51,994.72
  5. Step 5: Solve for x
    x = 51,994.72/298.53
  6. Step 6: Final answer
    x = 174.17

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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.