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Finding the Fourth Proportional to 286.88, 429.24 and 178.64

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Solution

The fourth proportional to 286.88, 429.24 and 178.64 is: 267.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.88 : 429.24 = 178.64 : x
  2. Step 2: Convert to fraction form
    286.88/429.24 = 178.64/x
  3. Step 3: Cross multiply
    286.88x = 429.24 × 178.64
  4. Step 4: Simplify right side
    286.88x = 76,679.43
  5. Step 5: Solve for x
    x = 76,679.43/286.88
  6. Step 6: Final answer
    x = 267.29

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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.