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Finding the Fourth Proportional to 298.02, 447.01 and 92.58

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Solution

The fourth proportional to 298.02, 447.01 and 92.58 is: 138.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.02 : 447.01 = 92.58 : x
  2. Step 2: Convert to fraction form
    298.02/447.01 = 92.58/x
  3. Step 3: Cross multiply
    298.02x = 447.01 × 92.58
  4. Step 4: Simplify right side
    298.02x = 41,384.19
  5. Step 5: Solve for x
    x = 41,384.19/298.02
  6. Step 6: Final answer
    x = 138.86

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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.