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Finding the Fourth Proportional to 216.19, 298.40 and 205.17

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Solution

The fourth proportional to 216.19, 298.40 and 205.17 is: 283.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.19 : 298.40 = 205.17 : x
  2. Step 2: Convert to fraction form
    216.19/298.40 = 205.17/x
  3. Step 3: Cross multiply
    216.19x = 298.40 × 205.17
  4. Step 4: Simplify right side
    216.19x = 61,220.58
  5. Step 5: Solve for x
    x = 61,220.58/216.19
  6. Step 6: Final answer
    x = 283.19

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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.