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Finding the Fourth Proportional to 286.53, 430.20 and 178.41

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Solution

The fourth proportional to 286.53, 430.20 and 178.41 is: 267.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.53 : 430.20 = 178.41 : x
  2. Step 2: Convert to fraction form
    286.53/430.20 = 178.41/x
  3. Step 3: Cross multiply
    286.53x = 430.20 × 178.41
  4. Step 4: Simplify right side
    286.53x = 76,751.98
  5. Step 5: Solve for x
    x = 76,751.98/286.53
  6. Step 6: Final answer
    x = 267.87

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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.