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Finding the Fourth Proportional to 394.35, 591.61 and 177.81

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Solution

The fourth proportional to 394.35, 591.61 and 177.81 is: 266.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.35 : 591.61 = 177.81 : x
  2. Step 2: Convert to fraction form
    394.35/591.61 = 177.81/x
  3. Step 3: Cross multiply
    394.35x = 591.61 × 177.81
  4. Step 4: Simplify right side
    394.35x = 105,194.17
  5. Step 5: Solve for x
    x = 105,194.17/394.35
  6. Step 6: Final answer
    x = 266.75

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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.