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Finding the Fourth Proportional to 216.17, 298.32 and 117.93

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Solution

The fourth proportional to 216.17, 298.32 and 117.93 is: 162.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.17 : 298.32 = 117.93 : x
  2. Step 2: Convert to fraction form
    216.17/298.32 = 117.93/x
  3. Step 3: Cross multiply
    216.17x = 298.32 × 117.93
  4. Step 4: Simplify right side
    216.17x = 35,180.88
  5. Step 5: Solve for x
    x = 35,180.88/216.17
  6. Step 6: Final answer
    x = 162.75

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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.