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Finding the Fourth Proportional to 298.18, 447.31 and 105.76

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Solution

The fourth proportional to 298.18, 447.31 and 105.76 is: 158.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.18 : 447.31 = 105.76 : x
  2. Step 2: Convert to fraction form
    298.18/447.31 = 105.76/x
  3. Step 3: Cross multiply
    298.18x = 447.31 × 105.76
  4. Step 4: Simplify right side
    298.18x = 47,307.51
  5. Step 5: Solve for x
    x = 47,307.51/298.18
  6. Step 6: Final answer
    x = 158.65

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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.