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Finding the Fourth Proportional to 224.32, 309.57 and 126.07

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Solution

The fourth proportional to 224.32, 309.57 and 126.07 is: 173.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.32 : 309.57 = 126.07 : x
  2. Step 2: Convert to fraction form
    224.32/309.57 = 126.07/x
  3. Step 3: Cross multiply
    224.32x = 309.57 × 126.07
  4. Step 4: Simplify right side
    224.32x = 39,027.49
  5. Step 5: Solve for x
    x = 39,027.49/224.32
  6. Step 6: Final answer
    x = 173.98

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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.