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Finding the Fourth Proportional to 356.87, 535.91 and 194.67

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Solution

The fourth proportional to 356.87, 535.91 and 194.67 is: 292.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.87 : 535.91 = 194.67 : x
  2. Step 2: Convert to fraction form
    356.87/535.91 = 194.67/x
  3. Step 3: Cross multiply
    356.87x = 535.91 × 194.67
  4. Step 4: Simplify right side
    356.87x = 104,324.63
  5. Step 5: Solve for x
    x = 104,324.63/356.87
  6. Step 6: Final answer
    x = 292.33

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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.