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Finding the Fourth Proportional to 286.70, 430.14 and 178.57

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Solution

The fourth proportional to 286.70, 430.14 and 178.57 is: 267.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.70 : 430.14 = 178.57 : x
  2. Step 2: Convert to fraction form
    286.70/430.14 = 178.57/x
  3. Step 3: Cross multiply
    286.70x = 430.14 × 178.57
  4. Step 4: Simplify right side
    286.70x = 76,807.95
  5. Step 5: Solve for x
    x = 76,807.95/286.70
  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.