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Finding the Fourth Proportional to 222.90, 334.56 and 177.38

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Solution

The fourth proportional to 222.90, 334.56 and 177.38 is: 266.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.90 : 334.56 = 177.38 : x
  2. Step 2: Convert to fraction form
    222.90/334.56 = 177.38/x
  3. Step 3: Cross multiply
    222.90x = 334.56 × 177.38
  4. Step 4: Simplify right side
    222.90x = 59,344.25
  5. Step 5: Solve for x
    x = 59,344.25/222.90
  6. Step 6: Final answer
    x = 266.24

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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.