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Finding the Fourth Proportional to 222.04, 331.61 and 176.44

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Solution

The fourth proportional to 222.04, 331.61 and 176.44 is: 263.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.04 : 331.61 = 176.44 : x
  2. Step 2: Convert to fraction form
    222.04/331.61 = 176.44/x
  3. Step 3: Cross multiply
    222.04x = 331.61 × 176.44
  4. Step 4: Simplify right side
    222.04x = 58,509.27
  5. Step 5: Solve for x
    x = 58,509.27/222.04
  6. Step 6: Final answer
    x = 263.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.