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Finding the Fourth Proportional to 503.60, 755.22 and 178.88

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Solution

The fourth proportional to 503.60, 755.22 and 178.88 is: 268.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.60 : 755.22 = 178.88 : x
  2. Step 2: Convert to fraction form
    503.60/755.22 = 178.88/x
  3. Step 3: Cross multiply
    503.60x = 755.22 × 178.88
  4. Step 4: Simplify right side
    503.60x = 135,093.75
  5. Step 5: Solve for x
    x = 135,093.75/503.60
  6. Step 6: Final answer
    x = 268.26

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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.