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Finding the Fourth Proportional to 216.03, 298.12 and 117.78

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Solution

The fourth proportional to 216.03, 298.12 and 117.78 is: 162.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.03 : 298.12 = 117.78 : x
  2. Step 2: Convert to fraction form
    216.03/298.12 = 117.78/x
  3. Step 3: Cross multiply
    216.03x = 298.12 × 117.78
  4. Step 4: Simplify right side
    216.03x = 35,112.28
  5. Step 5: Solve for x
    x = 35,112.28/216.03
  6. Step 6: Final answer
    x = 162.54

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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.