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Finding the Fourth Proportional to 223.14, 307.98 and 157.68

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Solution

The fourth proportional to 223.14, 307.98 and 157.68 is: 217.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.14 : 307.98 = 157.68 : x
  2. Step 2: Convert to fraction form
    223.14/307.98 = 157.68/x
  3. Step 3: Cross multiply
    223.14x = 307.98 × 157.68
  4. Step 4: Simplify right side
    223.14x = 48,562.29
  5. Step 5: Solve for x
    x = 48,562.29/223.14
  6. Step 6: Final answer
    x = 217.63

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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.