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Finding the Fourth Proportional to 300.47, 414.65 and 162.47

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Solution

The fourth proportional to 300.47, 414.65 and 162.47 is: 224.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.47 : 414.65 = 162.47 : x
  2. Step 2: Convert to fraction form
    300.47/414.65 = 162.47/x
  3. Step 3: Cross multiply
    300.47x = 414.65 × 162.47
  4. Step 4: Simplify right side
    300.47x = 67,367.16
  5. Step 5: Solve for x
    x = 67,367.16/300.47
  6. Step 6: Final answer
    x = 224.21

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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.