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Finding the Fourth Proportional to 292.03, 403.01 and 213.37

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Solution

The fourth proportional to 292.03, 403.01 and 213.37 is: 294.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.03 : 403.01 = 213.37 : x
  2. Step 2: Convert to fraction form
    292.03/403.01 = 213.37/x
  3. Step 3: Cross multiply
    292.03x = 403.01 × 213.37
  4. Step 4: Simplify right side
    292.03x = 85,990.24
  5. Step 5: Solve for x
    x = 85,990.24/292.03
  6. Step 6: Final answer
    x = 294.46

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Why These Related Problems?

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