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Finding the Fourth Proportional to 325.26, 448.80 and 207.18

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Solution

The fourth proportional to 325.26, 448.80 and 207.18 is: 285.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.26 : 448.80 = 207.18 : x
  2. Step 2: Convert to fraction form
    325.26/448.80 = 207.18/x
  3. Step 3: Cross multiply
    325.26x = 448.80 × 207.18
  4. Step 4: Simplify right side
    325.26x = 92,982.38
  5. Step 5: Solve for x
    x = 92,982.38/325.26
  6. Step 6: Final answer
    x = 285.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.