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Finding the Fourth Proportional to 216.39, 298.64 and 166.65

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Solution

The fourth proportional to 216.39, 298.64 and 166.65 is: 230.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.39 : 298.64 = 166.65 : x
  2. Step 2: Convert to fraction form
    216.39/298.64 = 166.65/x
  3. Step 3: Cross multiply
    216.39x = 298.64 × 166.65
  4. Step 4: Simplify right side
    216.39x = 49,768.77
  5. Step 5: Solve for x
    x = 49,768.77/216.39
  6. Step 6: Final answer
    x = 230.00

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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.