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Finding the Fourth Proportional to 220.77, 304.69 and 177.23

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Solution

The fourth proportional to 220.77, 304.69 and 177.23 is: 244.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.77 : 304.69 = 177.23 : x
  2. Step 2: Convert to fraction form
    220.77/304.69 = 177.23/x
  3. Step 3: Cross multiply
    220.77x = 304.69 × 177.23
  4. Step 4: Simplify right side
    220.77x = 54,000.21
  5. Step 5: Solve for x
    x = 54,000.21/220.77
  6. Step 6: Final answer
    x = 244.60

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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.