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Finding the Fourth Proportional to 377.97, 566.95 and 117.97

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Solution

The fourth proportional to 377.97, 566.95 and 117.97 is: 176.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.97 : 566.95 = 117.97 : x
  2. Step 2: Convert to fraction form
    377.97/566.95 = 117.97/x
  3. Step 3: Cross multiply
    377.97x = 566.95 × 117.97
  4. Step 4: Simplify right side
    377.97x = 66,879.96
  5. Step 5: Solve for x
    x = 66,879.96/377.97
  6. Step 6: Final answer
    x = 176.95

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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.