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Finding the Fourth Proportional to 208.66, 313.04 and 93.12

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Solution

The fourth proportional to 208.66, 313.04 and 93.12 is: 139.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.66 : 313.04 = 93.12 : x
  2. Step 2: Convert to fraction form
    208.66/313.04 = 93.12/x
  3. Step 3: Cross multiply
    208.66x = 313.04 × 93.12
  4. Step 4: Simplify right side
    208.66x = 29,150.28
  5. Step 5: Solve for x
    x = 29,150.28/208.66
  6. Step 6: Final answer
    x = 139.70

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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.