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Finding the Fourth Proportional to 208.02, 287.04 and 114.75

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Solution

The fourth proportional to 208.02, 287.04 and 114.75 is: 158.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.02 : 287.04 = 114.75 : x
  2. Step 2: Convert to fraction form
    208.02/287.04 = 114.75/x
  3. Step 3: Cross multiply
    208.02x = 287.04 × 114.75
  4. Step 4: Simplify right side
    208.02x = 32,937.84
  5. Step 5: Solve for x
    x = 32,937.84/208.02
  6. Step 6: Final answer
    x = 158.34

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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.