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Finding the Fourth Proportional to 408.74, 612.93 and 148.66

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Solution

The fourth proportional to 408.74, 612.93 and 148.66 is: 222.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.74 : 612.93 = 148.66 : x
  2. Step 2: Convert to fraction form
    408.74/612.93 = 148.66/x
  3. Step 3: Cross multiply
    408.74x = 612.93 × 148.66
  4. Step 4: Simplify right side
    408.74x = 91,115.11
  5. Step 5: Solve for x
    x = 91,115.11/408.74
  6. Step 6: Final answer
    x = 222.92

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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.