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Finding the Fourth Proportional to 246.53, 369.64 and 216.16

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Solution

The fourth proportional to 246.53, 369.64 and 216.16 is: 324.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.53 : 369.64 = 216.16 : x
  2. Step 2: Convert to fraction form
    246.53/369.64 = 216.16/x
  3. Step 3: Cross multiply
    246.53x = 369.64 × 216.16
  4. Step 4: Simplify right side
    246.53x = 79,901.38
  5. Step 5: Solve for x
    x = 79,901.38/246.53
  6. Step 6: Final answer
    x = 324.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.