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Finding the Fourth Proportional to 219.02, 301.97 and 156.81

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Solution

The fourth proportional to 219.02, 301.97 and 156.81 is: 216.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.02 : 301.97 = 156.81 : x
  2. Step 2: Convert to fraction form
    219.02/301.97 = 156.81/x
  3. Step 3: Cross multiply
    219.02x = 301.97 × 156.81
  4. Step 4: Simplify right side
    219.02x = 47,353.44
  5. Step 5: Solve for x
    x = 47,353.44/219.02
  6. Step 6: Final answer
    x = 216.21

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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.