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Finding the Fourth Proportional to 216.37, 298.66 and 205.35

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Solution

The fourth proportional to 216.37, 298.66 and 205.35 is: 283.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.37 : 298.66 = 205.35 : x
  2. Step 2: Convert to fraction form
    216.37/298.66 = 205.35/x
  3. Step 3: Cross multiply
    216.37x = 298.66 × 205.35
  4. Step 4: Simplify right side
    216.37x = 61,329.32
  5. Step 5: Solve for x
    x = 61,329.32/216.37
  6. Step 6: Final answer
    x = 283.45

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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.