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Finding the Fourth Proportional to 221.90, 305.86 and 156.29

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Solution

The fourth proportional to 221.90, 305.86 and 156.29 is: 215.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.90 : 305.86 = 156.29 : x
  2. Step 2: Convert to fraction form
    221.90/305.86 = 156.29/x
  3. Step 3: Cross multiply
    221.90x = 305.86 × 156.29
  4. Step 4: Simplify right side
    221.90x = 47,802.08
  5. Step 5: Solve for x
    x = 47,802.08/221.90
  6. Step 6: Final answer
    x = 215.42

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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.