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Finding the Fourth Proportional to 222.32, 333.74 and 177.22

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Solution

The fourth proportional to 222.32, 333.74 and 177.22 is: 266.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.32 : 333.74 = 177.22 : x
  2. Step 2: Convert to fraction form
    222.32/333.74 = 177.22/x
  3. Step 3: Cross multiply
    222.32x = 333.74 × 177.22
  4. Step 4: Simplify right side
    222.32x = 59,145.40
  5. Step 5: Solve for x
    x = 59,145.40/222.32
  6. Step 6: Final answer
    x = 266.04

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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.