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Finding the Fourth Proportional to 408.60, 612.51 and 148.54

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Solution

The fourth proportional to 408.60, 612.51 and 148.54 is: 222.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.60 : 612.51 = 148.54 : x
  2. Step 2: Convert to fraction form
    408.60/612.51 = 148.54/x
  3. Step 3: Cross multiply
    408.60x = 612.51 × 148.54
  4. Step 4: Simplify right side
    408.60x = 90,979.17
  5. Step 5: Solve for x
    x = 90,979.17/408.60
  6. Step 6: Final answer
    x = 222.66

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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.