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Finding the Fourth Proportional to 377.17, 566.06 and 194.62

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Solution

The fourth proportional to 377.17, 566.06 and 194.62 is: 292.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.17 : 566.06 = 194.62 : x
  2. Step 2: Convert to fraction form
    377.17/566.06 = 194.62/x
  3. Step 3: Cross multiply
    377.17x = 566.06 × 194.62
  4. Step 4: Simplify right side
    377.17x = 110,166.60
  5. Step 5: Solve for x
    x = 110,166.60/377.17
  6. Step 6: Final answer
    x = 292.09

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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.