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Finding the Fourth Proportional to 223.30, 307.92 and 190.51

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Solution

The fourth proportional to 223.30, 307.92 and 190.51 is: 262.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.30 : 307.92 = 190.51 : x
  2. Step 2: Convert to fraction form
    223.30/307.92 = 190.51/x
  3. Step 3: Cross multiply
    223.30x = 307.92 × 190.51
  4. Step 4: Simplify right side
    223.30x = 58,661.84
  5. Step 5: Solve for x
    x = 58,661.84/223.30
  6. Step 6: Final answer
    x = 262.70

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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.