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Finding the Fourth Proportional to 235.78, 325.01 and 208.10

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Solution

The fourth proportional to 235.78, 325.01 and 208.10 is: 286.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.78 : 325.01 = 208.10 : x
  2. Step 2: Convert to fraction form
    235.78/325.01 = 208.10/x
  3. Step 3: Cross multiply
    235.78x = 325.01 × 208.10
  4. Step 4: Simplify right side
    235.78x = 67,635.91
  5. Step 5: Solve for x
    x = 67,635.91/235.78
  6. Step 6: Final answer
    x = 286.86

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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.