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Finding the Fourth Proportional to 352.14, 528.09 and 208.14

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Solution

The fourth proportional to 352.14, 528.09 and 208.14 is: 312.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.14 : 528.09 = 208.14 : x
  2. Step 2: Convert to fraction form
    352.14/528.09 = 208.14/x
  3. Step 3: Cross multiply
    352.14x = 528.09 × 208.14
  4. Step 4: Simplify right side
    352.14x = 109,916.65
  5. Step 5: Solve for x
    x = 109,916.65/352.14
  6. Step 6: Final answer
    x = 312.14

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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.