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Finding the Fourth Proportional to 208.68, 313.07 and 106.02

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Solution

The fourth proportional to 208.68, 313.07 and 106.02 is: 159.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.68 : 313.07 = 106.02 : x
  2. Step 2: Convert to fraction form
    208.68/313.07 = 106.02/x
  3. Step 3: Cross multiply
    208.68x = 313.07 × 106.02
  4. Step 4: Simplify right side
    208.68x = 33,191.68
  5. Step 5: Solve for x
    x = 33,191.68/208.68
  6. Step 6: Final answer
    x = 159.06

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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.