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Finding the Fourth Proportional to 222.41, 333.63 and 76.16

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Solution

The fourth proportional to 222.41, 333.63 and 76.16 is: 114.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.41 : 333.63 = 76.16 : x
  2. Step 2: Convert to fraction form
    222.41/333.63 = 76.16/x
  3. Step 3: Cross multiply
    222.41x = 333.63 × 76.16
  4. Step 4: Simplify right side
    222.41x = 25,409.26
  5. Step 5: Solve for x
    x = 25,409.26/222.41
  6. Step 6: Final answer
    x = 114.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.