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Finding the Fourth Proportional to 312.52, 431.14 and 206.16

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Solution

The fourth proportional to 312.52, 431.14 and 206.16 is: 284.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.52 : 431.14 = 206.16 : x
  2. Step 2: Convert to fraction form
    312.52/431.14 = 206.16/x
  3. Step 3: Cross multiply
    312.52x = 431.14 × 206.16
  4. Step 4: Simplify right side
    312.52x = 88,883.82
  5. Step 5: Solve for x
    x = 88,883.82/312.52
  6. Step 6: Final answer
    x = 284.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.