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Finding the Fourth Proportional to 221.24, 305.16 and 155.76

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Solution

The fourth proportional to 221.24, 305.16 and 155.76 is: 214.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.24 : 305.16 = 155.76 : x
  2. Step 2: Convert to fraction form
    221.24/305.16 = 155.76/x
  3. Step 3: Cross multiply
    221.24x = 305.16 × 155.76
  4. Step 4: Simplify right side
    221.24x = 47,531.72
  5. Step 5: Solve for x
    x = 47,531.72/221.24
  6. Step 6: Final answer
    x = 214.84

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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.