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Finding the Fourth Proportional to 208.95, 288.33 and 120.42

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Solution

The fourth proportional to 208.95, 288.33 and 120.42 is: 166.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.95 : 288.33 = 120.42 : x
  2. Step 2: Convert to fraction form
    208.95/288.33 = 120.42/x
  3. Step 3: Cross multiply
    208.95x = 288.33 × 120.42
  4. Step 4: Simplify right side
    208.95x = 34,722.10
  5. Step 5: Solve for x
    x = 34,722.10/208.95
  6. Step 6: Final answer
    x = 166.17

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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.