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Finding the Fourth Proportional to 223.14, 307.88 and 139.10

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Solution

The fourth proportional to 223.14, 307.88 and 139.10 is: 191.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.14 : 307.88 = 139.10 : x
  2. Step 2: Convert to fraction form
    223.14/307.88 = 139.10/x
  3. Step 3: Cross multiply
    223.14x = 307.88 × 139.10
  4. Step 4: Simplify right side
    223.14x = 42,824.64
  5. Step 5: Solve for x
    x = 42,824.64/223.14
  6. Step 6: Final answer
    x = 191.92

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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.