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Finding the Fourth Proportional to 298.97, 448.20 and 207.84

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Solution

The fourth proportional to 298.97, 448.20 and 207.84 is: 311.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.97 : 448.20 = 207.84 : x
  2. Step 2: Convert to fraction form
    298.97/448.20 = 207.84/x
  3. Step 3: Cross multiply
    298.97x = 448.20 × 207.84
  4. Step 4: Simplify right side
    298.97x = 93,153.89
  5. Step 5: Solve for x
    x = 93,153.89/298.97
  6. Step 6: Final answer
    x = 311.58

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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.