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Finding the Fourth Proportional to 301.84, 416.87 and 208.87

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Solution

The fourth proportional to 301.84, 416.87 and 208.87 is: 288.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.84 : 416.87 = 208.87 : x
  2. Step 2: Convert to fraction form
    301.84/416.87 = 208.87/x
  3. Step 3: Cross multiply
    301.84x = 416.87 × 208.87
  4. Step 4: Simplify right side
    301.84x = 87,070.33
  5. Step 5: Solve for x
    x = 87,070.33/301.84
  6. Step 6: Final answer
    x = 288.47

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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.