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Finding the Fourth Proportional to 503.21, 754.89 and 178.58

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Solution

The fourth proportional to 503.21, 754.89 and 178.58 is: 267.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.21 : 754.89 = 178.58 : x
  2. Step 2: Convert to fraction form
    503.21/754.89 = 178.58/x
  3. Step 3: Cross multiply
    503.21x = 754.89 × 178.58
  4. Step 4: Simplify right side
    503.21x = 134,809.47
  5. Step 5: Solve for x
    x = 134,809.47/503.21
  6. Step 6: Final answer
    x = 267.90

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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.