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Finding the Fourth Proportional to 292.44, 438.68 and 84.21

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Solution

The fourth proportional to 292.44, 438.68 and 84.21 is: 126.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.44 : 438.68 = 84.21 : x
  2. Step 2: Convert to fraction form
    292.44/438.68 = 84.21/x
  3. Step 3: Cross multiply
    292.44x = 438.68 × 84.21
  4. Step 4: Simplify right side
    292.44x = 36,941.30
  5. Step 5: Solve for x
    x = 36,941.30/292.44
  6. Step 6: Final answer
    x = 126.32

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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.