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Finding the Fourth Proportional to 301.85, 416.51 and 208.83

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Solution

The fourth proportional to 301.85, 416.51 and 208.83 is: 288.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.85 : 416.51 = 208.83 : x
  2. Step 2: Convert to fraction form
    301.85/416.51 = 208.83/x
  3. Step 3: Cross multiply
    301.85x = 416.51 × 208.83
  4. Step 4: Simplify right side
    301.85x = 86,978.74
  5. Step 5: Solve for x
    x = 86,978.74/301.85
  6. Step 6: Final answer
    x = 288.16

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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.