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Finding the Fourth Proportional to 292.14, 438.22 and 247.04

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Solution

The fourth proportional to 292.14, 438.22 and 247.04 is: 370.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.14 : 438.22 = 247.04 : x
  2. Step 2: Convert to fraction form
    292.14/438.22 = 247.04/x
  3. Step 3: Cross multiply
    292.14x = 438.22 × 247.04
  4. Step 4: Simplify right side
    292.14x = 108,257.87
  5. Step 5: Solve for x
    x = 108,257.87/292.14
  6. Step 6: Final answer
    x = 370.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.