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Finding the Fourth Proportional to 216.02, 298.19 and 160.94

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Solution

The fourth proportional to 216.02, 298.19 and 160.94 is: 222.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.02 : 298.19 = 160.94 : x
  2. Step 2: Convert to fraction form
    216.02/298.19 = 160.94/x
  3. Step 3: Cross multiply
    216.02x = 298.19 × 160.94
  4. Step 4: Simplify right side
    216.02x = 47,990.64
  5. Step 5: Solve for x
    x = 47,990.64/216.02
  6. Step 6: Final answer
    x = 222.16

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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.