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Finding the Fourth Proportional to 298.65, 448.17 and 207.18

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Solution

The fourth proportional to 298.65, 448.17 and 207.18 is: 310.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.65 : 448.17 = 207.18 : x
  2. Step 2: Convert to fraction form
    298.65/448.17 = 207.18/x
  3. Step 3: Cross multiply
    298.65x = 448.17 × 207.18
  4. Step 4: Simplify right side
    298.65x = 92,851.08
  5. Step 5: Solve for x
    x = 92,851.08/298.65
  6. Step 6: Final answer
    x = 310.90

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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.