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Finding the Fourth Proportional to 208.07, 287.10 and 119.54

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Solution

The fourth proportional to 208.07, 287.10 and 119.54 is: 164.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.07 : 287.10 = 119.54 : x
  2. Step 2: Convert to fraction form
    208.07/287.10 = 119.54/x
  3. Step 3: Cross multiply
    208.07x = 287.10 × 119.54
  4. Step 4: Simplify right side
    208.07x = 34,317.90
  5. Step 5: Solve for x
    x = 34,317.90/208.07
  6. Step 6: Final answer
    x = 164.93

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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.