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Finding the Fourth Proportional to 208.14, 287.28 and 150.09

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Solution

The fourth proportional to 208.14, 287.28 and 150.09 is: 207.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.14 : 287.28 = 150.09 : x
  2. Step 2: Convert to fraction form
    208.14/287.28 = 150.09/x
  3. Step 3: Cross multiply
    208.14x = 287.28 × 150.09
  4. Step 4: Simplify right side
    208.14x = 43,117.86
  5. Step 5: Solve for x
    x = 43,117.86/208.14
  6. Step 6: Final answer
    x = 207.16

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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.