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Finding the Fourth Proportional to 270.61, 373.21 and 208.34

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Solution

The fourth proportional to 270.61, 373.21 and 208.34 is: 287.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.61 : 373.21 = 208.34 : x
  2. Step 2: Convert to fraction form
    270.61/373.21 = 208.34/x
  3. Step 3: Cross multiply
    270.61x = 373.21 × 208.34
  4. Step 4: Simplify right side
    270.61x = 77,753.58
  5. Step 5: Solve for x
    x = 77,753.58/270.61
  6. Step 6: Final answer
    x = 287.33

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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.