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Finding the Fourth Proportional to 492.42, 738.63 and 122.23

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Solution

The fourth proportional to 492.42, 738.63 and 122.23 is: 183.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.42 : 738.63 = 122.23 : x
  2. Step 2: Convert to fraction form
    492.42/738.63 = 122.23/x
  3. Step 3: Cross multiply
    492.42x = 738.63 × 122.23
  4. Step 4: Simplify right side
    492.42x = 90,282.74
  5. Step 5: Solve for x
    x = 90,282.74/492.42
  6. Step 6: Final answer
    x = 183.35

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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.