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Finding the Fourth Proportional to 298.92, 448.66 and 207.30

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Solution

The fourth proportional to 298.92, 448.66 and 207.30 is: 311.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.92 : 448.66 = 207.30 : x
  2. Step 2: Convert to fraction form
    298.92/448.66 = 207.30/x
  3. Step 3: Cross multiply
    298.92x = 448.66 × 207.30
  4. Step 4: Simplify right side
    298.92x = 93,007.22
  5. Step 5: Solve for x
    x = 93,007.22/298.92
  6. Step 6: Final answer
    x = 311.14

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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.