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Finding the Fourth Proportional to 287.38, 430.57 and 189.82

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Solution

The fourth proportional to 287.38, 430.57 and 189.82 is: 284.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.38 : 430.57 = 189.82 : x
  2. Step 2: Convert to fraction form
    287.38/430.57 = 189.82/x
  3. Step 3: Cross multiply
    287.38x = 430.57 × 189.82
  4. Step 4: Simplify right side
    287.38x = 81,727.70
  5. Step 5: Solve for x
    x = 81,727.70/287.38
  6. Step 6: Final answer
    x = 284.39

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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.