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Finding the Fourth Proportional to 286.72, 429.66 and 178.18

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Solution

The fourth proportional to 286.72, 429.66 and 178.18 is: 267.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.72 : 429.66 = 178.18 : x
  2. Step 2: Convert to fraction form
    286.72/429.66 = 178.18/x
  3. Step 3: Cross multiply
    286.72x = 429.66 × 178.18
  4. Step 4: Simplify right side
    286.72x = 76,556.82
  5. Step 5: Solve for x
    x = 76,556.82/286.72
  6. Step 6: Final answer
    x = 267.01

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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.