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Finding the Fourth Proportional to 222.95, 307.64 and 138.89

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Solution

The fourth proportional to 222.95, 307.64 and 138.89 is: 191.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.95 : 307.64 = 138.89 : x
  2. Step 2: Convert to fraction form
    222.95/307.64 = 138.89/x
  3. Step 3: Cross multiply
    222.95x = 307.64 × 138.89
  4. Step 4: Simplify right side
    222.95x = 42,729.24
  5. Step 5: Solve for x
    x = 42,729.24/222.95
  6. Step 6: Final answer
    x = 191.65

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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.