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Finding the Fourth Proportional to 208.08, 287.14 and 114.83

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Solution

The fourth proportional to 208.08, 287.14 and 114.83 is: 158.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.08 : 287.14 = 114.83 : x
  2. Step 2: Convert to fraction form
    208.08/287.14 = 114.83/x
  3. Step 3: Cross multiply
    208.08x = 287.14 × 114.83
  4. Step 4: Simplify right side
    208.08x = 32,971.14
  5. Step 5: Solve for x
    x = 32,971.14/208.08
  6. Step 6: Final answer
    x = 158.46

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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.