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Finding the Fourth Proportional to 287.28, 430.94 and 113.91

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Solution

The fourth proportional to 287.28, 430.94 and 113.91 is: 170.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.28 : 430.94 = 113.91 : x
  2. Step 2: Convert to fraction form
    287.28/430.94 = 113.91/x
  3. Step 3: Cross multiply
    287.28x = 430.94 × 113.91
  4. Step 4: Simplify right side
    287.28x = 49,088.38
  5. Step 5: Solve for x
    x = 49,088.38/287.28
  6. Step 6: Final answer
    x = 170.87

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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.