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Finding the Fourth Proportional to 208.56, 287.96 and 134.91

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Solution

The fourth proportional to 208.56, 287.96 and 134.91 is: 186.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.56 : 287.96 = 134.91 : x
  2. Step 2: Convert to fraction form
    208.56/287.96 = 134.91/x
  3. Step 3: Cross multiply
    208.56x = 287.96 × 134.91
  4. Step 4: Simplify right side
    208.56x = 38,848.01
  5. Step 5: Solve for x
    x = 38,848.01/208.56
  6. Step 6: Final answer
    x = 186.27

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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.