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Finding the Fourth Proportional to 224.46, 309.63 and 141.51

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Solution

The fourth proportional to 224.46, 309.63 and 141.51 is: 195.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.46 : 309.63 = 141.51 : x
  2. Step 2: Convert to fraction form
    224.46/309.63 = 141.51/x
  3. Step 3: Cross multiply
    224.46x = 309.63 × 141.51
  4. Step 4: Simplify right side
    224.46x = 43,815.74
  5. Step 5: Solve for x
    x = 43,815.74/224.46
  6. Step 6: Final answer
    x = 195.21

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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.