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Finding the Fourth Proportional to 208.21, 287.36 and 134.74

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Solution

The fourth proportional to 208.21, 287.36 and 134.74 is: 185.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.21 : 287.36 = 134.74 : x
  2. Step 2: Convert to fraction form
    208.21/287.36 = 134.74/x
  3. Step 3: Cross multiply
    208.21x = 287.36 × 134.74
  4. Step 4: Simplify right side
    208.21x = 38,718.89
  5. Step 5: Solve for x
    x = 38,718.89/208.21
  6. Step 6: Final answer
    x = 185.96

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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.