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Finding the Fourth Proportional to 221.19, 304.74 and 177.45

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Solution

The fourth proportional to 221.19, 304.74 and 177.45 is: 244.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.19 : 304.74 = 177.45 : x
  2. Step 2: Convert to fraction form
    221.19/304.74 = 177.45/x
  3. Step 3: Cross multiply
    221.19x = 304.74 × 177.45
  4. Step 4: Simplify right side
    221.19x = 54,076.11
  5. Step 5: Solve for x
    x = 54,076.11/221.19
  6. Step 6: Final answer
    x = 244.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.