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Finding the Fourth Proportional to 208.56, 287.82 and 120.04

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Solution

The fourth proportional to 208.56, 287.82 and 120.04 is: 165.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.56 : 287.82 = 120.04 : x
  2. Step 2: Convert to fraction form
    208.56/287.82 = 120.04/x
  3. Step 3: Cross multiply
    208.56x = 287.82 × 120.04
  4. Step 4: Simplify right side
    208.56x = 34,549.91
  5. Step 5: Solve for x
    x = 34,549.91/208.56
  6. Step 6: Final answer
    x = 165.66

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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.