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Finding the Fourth Proportional to 208.69, 313.16 and 106.04

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Solution

The fourth proportional to 208.69, 313.16 and 106.04 is: 159.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.69 : 313.16 = 106.04 : x
  2. Step 2: Convert to fraction form
    208.69/313.16 = 106.04/x
  3. Step 3: Cross multiply
    208.69x = 313.16 × 106.04
  4. Step 4: Simplify right side
    208.69x = 33,208.07
  5. Step 5: Solve for x
    x = 33,208.07/208.69
  6. Step 6: Final answer
    x = 159.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.