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Finding the Fourth Proportional to 292.03, 402.35 and 213.21

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Solution

The fourth proportional to 292.03, 402.35 and 213.21 is: 293.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.03 : 402.35 = 213.21 : x
  2. Step 2: Convert to fraction form
    292.03/402.35 = 213.21/x
  3. Step 3: Cross multiply
    292.03x = 402.35 × 213.21
  4. Step 4: Simplify right side
    292.03x = 85,783.98
  5. Step 5: Solve for x
    x = 85,783.98/292.03
  6. Step 6: Final answer
    x = 293.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.