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Finding the Fourth Proportional to 503.47, 755.41 and 178.86

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Solution

The fourth proportional to 503.47, 755.41 and 178.86 is: 268.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.47 : 755.41 = 178.86 : x
  2. Step 2: Convert to fraction form
    503.47/755.41 = 178.86/x
  3. Step 3: Cross multiply
    503.47x = 755.41 × 178.86
  4. Step 4: Simplify right side
    503.47x = 135,112.63
  5. Step 5: Solve for x
    x = 135,112.63/503.47
  6. Step 6: Final answer
    x = 268.36

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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.