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Finding the Fourth Proportional to 286.56, 430.36 and 183.92

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Solution

The fourth proportional to 286.56, 430.36 and 183.92 is: 276.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.56 : 430.36 = 183.92 : x
  2. Step 2: Convert to fraction form
    286.56/430.36 = 183.92/x
  3. Step 3: Cross multiply
    286.56x = 430.36 × 183.92
  4. Step 4: Simplify right side
    286.56x = 79,151.81
  5. Step 5: Solve for x
    x = 79,151.81/286.56
  6. Step 6: Final answer
    x = 276.21

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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.