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Finding the Fourth Proportional to 176.38, 264.07 and 133.06

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Solution

The fourth proportional to 176.38, 264.07 and 133.06 is: 199.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.38 : 264.07 = 133.06 : x
  2. Step 2: Convert to fraction form
    176.38/264.07 = 133.06/x
  3. Step 3: Cross multiply
    176.38x = 264.07 × 133.06
  4. Step 4: Simplify right side
    176.38x = 35,137.15
  5. Step 5: Solve for x
    x = 35,137.15/176.38
  6. Step 6: Final answer
    x = 199.21

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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.