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Finding the Fourth Proportional to 365.98, 505.02 and 216.61

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Solution

The fourth proportional to 365.98, 505.02 and 216.61 is: 298.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.98 : 505.02 = 216.61 : x
  2. Step 2: Convert to fraction form
    365.98/505.02 = 216.61/x
  3. Step 3: Cross multiply
    365.98x = 505.02 × 216.61
  4. Step 4: Simplify right side
    365.98x = 109,392.38
  5. Step 5: Solve for x
    x = 109,392.38/365.98
  6. Step 6: Final answer
    x = 298.90

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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.