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Finding the Fourth Proportional to 286.92, 430.35 and 200

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Solution

The fourth proportional to 286.92, 430.35 and 200 is: 299.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.92 : 430.35 = 200 : x
  2. Step 2: Convert to fraction form
    286.92/430.35 = 200/x
  3. Step 3: Cross multiply
    286.92x = 430.35 × 200
  4. Step 4: Simplify right side
    286.92x = 86,070
  5. Step 5: Solve for x
    x = 86,070/286.92
  6. Step 6: Final answer
    x = 299.98

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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.