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Finding the Fourth Proportional to 216.75, 298.89 and 185.76

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Solution

The fourth proportional to 216.75, 298.89 and 185.76 is: 256.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.75 : 298.89 = 185.76 : x
  2. Step 2: Convert to fraction form
    216.75/298.89 = 185.76/x
  3. Step 3: Cross multiply
    216.75x = 298.89 × 185.76
  4. Step 4: Simplify right side
    216.75x = 55,521.81
  5. Step 5: Solve for x
    x = 55,521.81/216.75
  6. Step 6: Final answer
    x = 256.16

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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.