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Finding the Fourth Proportional to 298.90, 448.38 and 106.54

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Solution

The fourth proportional to 298.90, 448.38 and 106.54 is: 159.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.90 : 448.38 = 106.54 : x
  2. Step 2: Convert to fraction form
    298.90/448.38 = 106.54/x
  3. Step 3: Cross multiply
    298.90x = 448.38 × 106.54
  4. Step 4: Simplify right side
    298.90x = 47,770.41
  5. Step 5: Solve for x
    x = 47,770.41/298.90
  6. Step 6: Final answer
    x = 159.82

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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.