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Finding the Fourth Proportional to 224.25, 309.49 and 130.98

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Solution

The fourth proportional to 224.25, 309.49 and 130.98 is: 180.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.25 : 309.49 = 130.98 : x
  2. Step 2: Convert to fraction form
    224.25/309.49 = 130.98/x
  3. Step 3: Cross multiply
    224.25x = 309.49 × 130.98
  4. Step 4: Simplify right side
    224.25x = 40,537.00
  5. Step 5: Solve for x
    x = 40,537.00/224.25
  6. Step 6: Final answer
    x = 180.77

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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.