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Finding the Fourth Proportional to 221.07, 304.06 and 177.31

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Solution

The fourth proportional to 221.07, 304.06 and 177.31 is: 243.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.07 : 304.06 = 177.31 : x
  2. Step 2: Convert to fraction form
    221.07/304.06 = 177.31/x
  3. Step 3: Cross multiply
    221.07x = 304.06 × 177.31
  4. Step 4: Simplify right side
    221.07x = 53,911.90
  5. Step 5: Solve for x
    x = 53,911.90/221.07
  6. Step 6: Final answer
    x = 243.87

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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.