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Finding the Fourth Proportional to 222.44, 307.04 and 135.16

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Solution

The fourth proportional to 222.44, 307.04 and 135.16 is: 186.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.44 : 307.04 = 135.16 : x
  2. Step 2: Convert to fraction form
    222.44/307.04 = 135.16/x
  3. Step 3: Cross multiply
    222.44x = 307.04 × 135.16
  4. Step 4: Simplify right side
    222.44x = 41,499.53
  5. Step 5: Solve for x
    x = 41,499.53/222.44
  6. Step 6: Final answer
    x = 186.57

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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.