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Finding the Fourth Proportional to 301.76, 416.62 and 208.68

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Solution

The fourth proportional to 301.76, 416.62 and 208.68 is: 288.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.76 : 416.62 = 208.68 : x
  2. Step 2: Convert to fraction form
    301.76/416.62 = 208.68/x
  3. Step 3: Cross multiply
    301.76x = 416.62 × 208.68
  4. Step 4: Simplify right side
    301.76x = 86,940.26
  5. Step 5: Solve for x
    x = 86,940.26/301.76
  6. Step 6: Final answer
    x = 288.11

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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.