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Finding the Fourth Proportional to 292.04, 402.24 and 218.24

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Solution

The fourth proportional to 292.04, 402.24 and 218.24 is: 300.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.04 : 402.24 = 218.24 : x
  2. Step 2: Convert to fraction form
    292.04/402.24 = 218.24/x
  3. Step 3: Cross multiply
    292.04x = 402.24 × 218.24
  4. Step 4: Simplify right side
    292.04x = 87,784.86
  5. Step 5: Solve for x
    x = 87,784.86/292.04
  6. Step 6: Final answer
    x = 300.59

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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.