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Finding the Fourth Proportional to 223.63, 309.15 and 168.48

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Solution

The fourth proportional to 223.63, 309.15 and 168.48 is: 232.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.63 : 309.15 = 168.48 : x
  2. Step 2: Convert to fraction form
    223.63/309.15 = 168.48/x
  3. Step 3: Cross multiply
    223.63x = 309.15 × 168.48
  4. Step 4: Simplify right side
    223.63x = 52,085.59
  5. Step 5: Solve for x
    x = 52,085.59/223.63
  6. Step 6: Final answer
    x = 232.91

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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.