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Finding the Fourth Proportional to 216.49, 298.58 and 188.41

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Solution

The fourth proportional to 216.49, 298.58 and 188.41 is: 259.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.49 : 298.58 = 188.41 : x
  2. Step 2: Convert to fraction form
    216.49/298.58 = 188.41/x
  3. Step 3: Cross multiply
    216.49x = 298.58 × 188.41
  4. Step 4: Simplify right side
    216.49x = 56,255.46
  5. Step 5: Solve for x
    x = 56,255.46/216.49
  6. Step 6: Final answer
    x = 259.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.