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Finding the Fourth Proportional to 176.69, 264.72 and 138.22

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Solution

The fourth proportional to 176.69, 264.72 and 138.22 is: 207.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.69 : 264.72 = 138.22 : x
  2. Step 2: Convert to fraction form
    176.69/264.72 = 138.22/x
  3. Step 3: Cross multiply
    176.69x = 264.72 × 138.22
  4. Step 4: Simplify right side
    176.69x = 36,589.60
  5. Step 5: Solve for x
    x = 36,589.60/176.69
  6. Step 6: Final answer
    x = 207.08

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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.