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Finding the Fourth Proportional to 221, 304.56 and 203.58

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Solution

The fourth proportional to 221, 304.56 and 203.58 is: 280.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    221 : 304.56 = 203.58 : x
  2. Step 2: Convert to fraction form
    221/304.56 = 203.58/x
  3. Step 3: Cross multiply
    221x = 304.56 × 203.58
  4. Step 4: Simplify right side
    221x = 62,002.32
  5. Step 5: Solve for x
    x = 62,002.32/221
  6. Step 6: Final answer
    x = 280.55

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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.