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Finding the Fourth Proportional to 246.02, 369.07 and 99.81

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Solution

The fourth proportional to 246.02, 369.07 and 99.81 is: 149.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.02 : 369.07 = 99.81 : x
  2. Step 2: Convert to fraction form
    246.02/369.07 = 99.81/x
  3. Step 3: Cross multiply
    246.02x = 369.07 × 99.81
  4. Step 4: Simplify right side
    246.02x = 36,836.63
  5. Step 5: Solve for x
    x = 36,836.63/246.02
  6. Step 6: Final answer
    x = 149.73

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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.