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Finding the Fourth Proportional to 394.40, 591.33 and 177.86

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Solution

The fourth proportional to 394.40, 591.33 and 177.86 is: 266.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.40 : 591.33 = 177.86 : x
  2. Step 2: Convert to fraction form
    394.40/591.33 = 177.86/x
  3. Step 3: Cross multiply
    394.40x = 591.33 × 177.86
  4. Step 4: Simplify right side
    394.40x = 105,173.95
  5. Step 5: Solve for x
    x = 105,173.95/394.40
  6. Step 6: Final answer
    x = 266.67

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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.