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Finding the Fourth Proportional to 208.14, 287.14 and 155.59

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Solution

The fourth proportional to 208.14, 287.14 and 155.59 is: 214.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.14 : 287.14 = 155.59 : x
  2. Step 2: Convert to fraction form
    208.14/287.14 = 155.59/x
  3. Step 3: Cross multiply
    208.14x = 287.14 × 155.59
  4. Step 4: Simplify right side
    208.14x = 44,676.11
  5. Step 5: Solve for x
    x = 44,676.11/208.14
  6. Step 6: Final answer
    x = 214.64

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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.