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Finding the Fourth Proportional to 287.70, 431.11 and 190.10

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Solution

The fourth proportional to 287.70, 431.11 and 190.10 is: 284.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.70 : 431.11 = 190.10 : x
  2. Step 2: Convert to fraction form
    287.70/431.11 = 190.10/x
  3. Step 3: Cross multiply
    287.70x = 431.11 × 190.10
  4. Step 4: Simplify right side
    287.70x = 81,951.83
  5. Step 5: Solve for x
    x = 81,951.83/287.70
  6. Step 6: Final answer
    x = 284.85

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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.