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Finding the Fourth Proportional to 377.62, 566.43 and 117.61

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Solution

The fourth proportional to 377.62, 566.43 and 117.61 is: 176.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.62 : 566.43 = 117.61 : x
  2. Step 2: Convert to fraction form
    377.62/566.43 = 117.61/x
  3. Step 3: Cross multiply
    377.62x = 566.43 × 117.61
  4. Step 4: Simplify right side
    377.62x = 66,617.83
  5. Step 5: Solve for x
    x = 66,617.83/377.62
  6. Step 6: Final answer
    x = 176.42

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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.