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Finding the Fourth Proportional to 492.40, 738.69 and 145.73

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Solution

The fourth proportional to 492.40, 738.69 and 145.73 is: 218.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.40 : 738.69 = 145.73 : x
  2. Step 2: Convert to fraction form
    492.40/738.69 = 145.73/x
  3. Step 3: Cross multiply
    492.40x = 738.69 × 145.73
  4. Step 4: Simplify right side
    492.40x = 107,649.29
  5. Step 5: Solve for x
    x = 107,649.29/492.40
  6. Step 6: Final answer
    x = 218.62

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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.