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Finding the Fourth Proportional to 246.47, 369.57 and 84.17

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Solution

The fourth proportional to 246.47, 369.57 and 84.17 is: 126.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.47 : 369.57 = 84.17 : x
  2. Step 2: Convert to fraction form
    246.47/369.57 = 84.17/x
  3. Step 3: Cross multiply
    246.47x = 369.57 × 84.17
  4. Step 4: Simplify right side
    246.47x = 31,106.71
  5. Step 5: Solve for x
    x = 31,106.71/246.47
  6. Step 6: Final answer
    x = 126.21

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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.