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Finding the Fourth Proportional to 223.26, 307.80 and 192.07

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Solution

The fourth proportional to 223.26, 307.80 and 192.07 is: 264.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.26 : 307.80 = 192.07 : x
  2. Step 2: Convert to fraction form
    223.26/307.80 = 192.07/x
  3. Step 3: Cross multiply
    223.26x = 307.80 × 192.07
  4. Step 4: Simplify right side
    223.26x = 59,119.53
  5. Step 5: Solve for x
    x = 59,119.53/223.26
  6. Step 6: Final answer
    x = 264.81

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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.