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Finding the Fourth Proportional to 286.97, 430.59 and 184.19

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Solution

The fourth proportional to 286.97, 430.59 and 184.19 is: 276.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.97 : 430.59 = 184.19 : x
  2. Step 2: Convert to fraction form
    286.97/430.59 = 184.19/x
  3. Step 3: Cross multiply
    286.97x = 430.59 × 184.19
  4. Step 4: Simplify right side
    286.97x = 79,308.22
  5. Step 5: Solve for x
    x = 79,308.22/286.97
  6. Step 6: Final answer
    x = 276.37

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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.