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Finding the Fourth Proportional to 223.16, 307.94 and 140.29

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Solution

The fourth proportional to 223.16, 307.94 and 140.29 is: 193.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.16 : 307.94 = 140.29 : x
  2. Step 2: Convert to fraction form
    223.16/307.94 = 140.29/x
  3. Step 3: Cross multiply
    223.16x = 307.94 × 140.29
  4. Step 4: Simplify right side
    223.16x = 43,199.43
  5. Step 5: Solve for x
    x = 43,199.43/223.16
  6. Step 6: Final answer
    x = 193.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.