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Finding the Fourth Proportional to 408.52, 612.88 and 134.64

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Solution

The fourth proportional to 408.52, 612.88 and 134.64 is: 201.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.52 : 612.88 = 134.64 : x
  2. Step 2: Convert to fraction form
    408.52/612.88 = 134.64/x
  3. Step 3: Cross multiply
    408.52x = 612.88 × 134.64
  4. Step 4: Simplify right side
    408.52x = 82,518.16
  5. Step 5: Solve for x
    x = 82,518.16/408.52
  6. Step 6: Final answer
    x = 201.99

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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.