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Finding the Fourth Proportional to 503.38, 754.89 and 178.67

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Solution

The fourth proportional to 503.38, 754.89 and 178.67 is: 267.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.38 : 754.89 = 178.67 : x
  2. Step 2: Convert to fraction form
    503.38/754.89 = 178.67/x
  3. Step 3: Cross multiply
    503.38x = 754.89 × 178.67
  4. Step 4: Simplify right side
    503.38x = 134,877.41
  5. Step 5: Solve for x
    x = 134,877.41/503.38
  6. Step 6: Final answer
    x = 267.94

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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.