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Finding the Fourth Proportional to 492.65, 738.82 and 145.92

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Solution

The fourth proportional to 492.65, 738.82 and 145.92 is: 218.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.65 : 738.82 = 145.92 : x
  2. Step 2: Convert to fraction form
    492.65/738.82 = 145.92/x
  3. Step 3: Cross multiply
    492.65x = 738.82 × 145.92
  4. Step 4: Simplify right side
    492.65x = 107,811.57
  5. Step 5: Solve for x
    x = 107,811.57/492.65
  6. Step 6: Final answer
    x = 218.84

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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.