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Finding the Fourth Proportional to 298.23, 447.34 and 103.13

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Solution

The fourth proportional to 298.23, 447.34 and 103.13 is: 154.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.23 : 447.34 = 103.13 : x
  2. Step 2: Convert to fraction form
    298.23/447.34 = 103.13/x
  3. Step 3: Cross multiply
    298.23x = 447.34 × 103.13
  4. Step 4: Simplify right side
    298.23x = 46,134.17
  5. Step 5: Solve for x
    x = 46,134.17/298.23
  6. Step 6: Final answer
    x = 154.69

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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.