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Finding the Fourth Proportional to 503.34, 755.06 and 178.80

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Solution

The fourth proportional to 503.34, 755.06 and 178.80 is: 268.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.34 : 755.06 = 178.80 : x
  2. Step 2: Convert to fraction form
    503.34/755.06 = 178.80/x
  3. Step 3: Cross multiply
    503.34x = 755.06 × 178.80
  4. Step 4: Simplify right side
    503.34x = 135,003.83
  5. Step 5: Solve for x
    x = 135,003.83/503.34
  6. Step 6: Final answer
    x = 268.22

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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.