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Finding the Fourth Proportional to 286.92, 430.54 and 150.09

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Solution

The fourth proportional to 286.92, 430.54 and 150.09 is: 225.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.92 : 430.54 = 150.09 : x
  2. Step 2: Convert to fraction form
    286.92/430.54 = 150.09/x
  3. Step 3: Cross multiply
    286.92x = 430.54 × 150.09
  4. Step 4: Simplify right side
    286.92x = 64,620.12
  5. Step 5: Solve for x
    x = 64,620.12/286.92
  6. Step 6: Final answer
    x = 225.22

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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.