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Finding the Fourth Proportional to 286.79, 430.26 and 184.12

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Solution

The fourth proportional to 286.79, 430.26 and 184.12 is: 276.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.79 : 430.26 = 184.12 : x
  2. Step 2: Convert to fraction form
    286.79/430.26 = 184.12/x
  3. Step 3: Cross multiply
    286.79x = 430.26 × 184.12
  4. Step 4: Simplify right side
    286.79x = 79,221.16
  5. Step 5: Solve for x
    x = 79,221.16/286.79
  6. Step 6: Final answer
    x = 276.23

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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.