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Finding the Fourth Proportional to 286.29, 429.53 and 208.06

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Solution

The fourth proportional to 286.29, 429.53 and 208.06 is: 312.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.29 : 429.53 = 208.06 : x
  2. Step 2: Convert to fraction form
    286.29/429.53 = 208.06/x
  3. Step 3: Cross multiply
    286.29x = 429.53 × 208.06
  4. Step 4: Simplify right side
    286.29x = 89,365.90
  5. Step 5: Solve for x
    x = 89,365.90/286.29
  6. Step 6: Final answer
    x = 312.15

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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.