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Finding the Fourth Proportional to 216.86, 298.36 and 189.29

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Solution

The fourth proportional to 216.86, 298.36 and 189.29 is: 260.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.86 : 298.36 = 189.29 : x
  2. Step 2: Convert to fraction form
    216.86/298.36 = 189.29/x
  3. Step 3: Cross multiply
    216.86x = 298.36 × 189.29
  4. Step 4: Simplify right side
    216.86x = 56,476.84
  5. Step 5: Solve for x
    x = 56,476.84/216.86
  6. Step 6: Final answer
    x = 260.43

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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.