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Finding the Fourth Proportional to 223.20, 335.10 and 177.60

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Solution

The fourth proportional to 223.20, 335.10 and 177.60 is: 266.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.20 : 335.10 = 177.60 : x
  2. Step 2: Convert to fraction form
    223.20/335.10 = 177.60/x
  3. Step 3: Cross multiply
    223.20x = 335.10 × 177.60
  4. Step 4: Simplify right side
    223.20x = 59,513.76
  5. Step 5: Solve for x
    x = 59,513.76/223.20
  6. Step 6: Final answer
    x = 266.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.