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Finding the Fourth Proportional to 301.67, 416.04 and 208.57

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Solution

The fourth proportional to 301.67, 416.04 and 208.57 is: 287.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.67 : 416.04 = 208.57 : x
  2. Step 2: Convert to fraction form
    301.67/416.04 = 208.57/x
  3. Step 3: Cross multiply
    301.67x = 416.04 × 208.57
  4. Step 4: Simplify right side
    301.67x = 86,773.46
  5. Step 5: Solve for x
    x = 86,773.46/301.67
  6. Step 6: Final answer
    x = 287.64

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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.