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Finding the Fourth Proportional to 208.07, 287.04 and 158.25

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Solution

The fourth proportional to 208.07, 287.04 and 158.25 is: 218.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.07 : 287.04 = 158.25 : x
  2. Step 2: Convert to fraction form
    208.07/287.04 = 158.25/x
  3. Step 3: Cross multiply
    208.07x = 287.04 × 158.25
  4. Step 4: Simplify right side
    208.07x = 45,425.75
  5. Step 5: Solve for x
    x = 45,425.75/208.07
  6. Step 6: Final answer
    x = 218.32

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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.