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Finding the Fourth Proportional to 208.96, 313.14 and 106.10

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Solution

The fourth proportional to 208.96, 313.14 and 106.10 is: 159.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.96 : 313.14 = 106.10 : x
  2. Step 2: Convert to fraction form
    208.96/313.14 = 106.10/x
  3. Step 3: Cross multiply
    208.96x = 313.14 × 106.10
  4. Step 4: Simplify right side
    208.96x = 33,224.15
  5. Step 5: Solve for x
    x = 33,224.15/208.96
  6. Step 6: Final answer
    x = 159.00

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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.