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Finding the Fourth Proportional to 423.14, 634.80 and 179.67

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Solution

The fourth proportional to 423.14, 634.80 and 179.67 is: 269.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.14 : 634.80 = 179.67 : x
  2. Step 2: Convert to fraction form
    423.14/634.80 = 179.67/x
  3. Step 3: Cross multiply
    423.14x = 634.80 × 179.67
  4. Step 4: Simplify right side
    423.14x = 114,054.52
  5. Step 5: Solve for x
    x = 114,054.52/423.14
  6. Step 6: Final answer
    x = 269.55

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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.