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Finding the Fourth Proportional to 286.94, 430.18 and 200.00

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Solution

The fourth proportional to 286.94, 430.18 and 200.00 is: 299.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.94 : 430.18 = 200.00 : x
  2. Step 2: Convert to fraction form
    286.94/430.18 = 200.00/x
  3. Step 3: Cross multiply
    286.94x = 430.18 × 200.00
  4. Step 4: Simplify right side
    286.94x = 86,036.58
  5. Step 5: Solve for x
    x = 86,036.58/286.94
  6. Step 6: Final answer
    x = 299.84

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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.