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Finding the Fourth Proportional to 286.67, 430.12 and 122.18

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Solution

The fourth proportional to 286.67, 430.12 and 122.18 is: 183.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.67 : 430.12 = 122.18 : x
  2. Step 2: Convert to fraction form
    286.67/430.12 = 122.18/x
  3. Step 3: Cross multiply
    286.67x = 430.12 × 122.18
  4. Step 4: Simplify right side
    286.67x = 52,552.06
  5. Step 5: Solve for x
    x = 52,552.06/286.67
  6. Step 6: Final answer
    x = 183.32

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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.