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Finding the Fourth Proportional to 223.07, 307.87 and 134.56

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Solution

The fourth proportional to 223.07, 307.87 and 134.56 is: 185.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.07 : 307.87 = 134.56 : x
  2. Step 2: Convert to fraction form
    223.07/307.87 = 134.56/x
  3. Step 3: Cross multiply
    223.07x = 307.87 × 134.56
  4. Step 4: Simplify right side
    223.07x = 41,426.99
  5. Step 5: Solve for x
    x = 41,426.99/223.07
  6. Step 6: Final answer
    x = 185.71

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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.