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Finding the Fourth Proportional to 286.51, 429.81 and 212.09

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Solution

The fourth proportional to 286.51, 429.81 and 212.09 is: 318.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.51 : 429.81 = 212.09 : x
  2. Step 2: Convert to fraction form
    286.51/429.81 = 212.09/x
  3. Step 3: Cross multiply
    286.51x = 429.81 × 212.09
  4. Step 4: Simplify right side
    286.51x = 91,159.09
  5. Step 5: Solve for x
    x = 91,159.09/286.51
  6. Step 6: Final answer
    x = 318.17

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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.