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Finding the Fourth Proportional to 222.10, 334.16 and 176.94

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Solution

The fourth proportional to 222.10, 334.16 and 176.94 is: 266.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.10 : 334.16 = 176.94 : x
  2. Step 2: Convert to fraction form
    222.10/334.16 = 176.94/x
  3. Step 3: Cross multiply
    222.10x = 334.16 × 176.94
  4. Step 4: Simplify right side
    222.10x = 59,126.27
  5. Step 5: Solve for x
    x = 59,126.27/222.10
  6. Step 6: Final answer
    x = 266.21

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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.