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Finding the Fourth Proportional to 221.84, 305.56 and 192.72

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Solution

The fourth proportional to 221.84, 305.56 and 192.72 is: 265.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.84 : 305.56 = 192.72 : x
  2. Step 2: Convert to fraction form
    221.84/305.56 = 192.72/x
  3. Step 3: Cross multiply
    221.84x = 305.56 × 192.72
  4. Step 4: Simplify right side
    221.84x = 58,887.52
  5. Step 5: Solve for x
    x = 58,887.52/221.84
  6. Step 6: Final answer
    x = 265.45

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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.