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Finding the Fourth Proportional to 216.09, 297.62 and 208.59

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Solution

The fourth proportional to 216.09, 297.62 and 208.59 is: 287.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.09 : 297.62 = 208.59 : x
  2. Step 2: Convert to fraction form
    216.09/297.62 = 208.59/x
  3. Step 3: Cross multiply
    216.09x = 297.62 × 208.59
  4. Step 4: Simplify right side
    216.09x = 62,079.51
  5. Step 5: Solve for x
    x = 62,079.51/216.09
  6. Step 6: Final answer
    x = 287.29

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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.