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Finding the Fourth Proportional to 208.58, 287.82 and 120.06

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Solution

The fourth proportional to 208.58, 287.82 and 120.06 is: 165.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.58 : 287.82 = 120.06 : x
  2. Step 2: Convert to fraction form
    208.58/287.82 = 120.06/x
  3. Step 3: Cross multiply
    208.58x = 287.82 × 120.06
  4. Step 4: Simplify right side
    208.58x = 34,555.67
  5. Step 5: Solve for x
    x = 34,555.67/208.58
  6. Step 6: Final answer
    x = 165.68

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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.