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Finding the Fourth Proportional to 176.52, 264.56 and 142.44

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Solution

The fourth proportional to 176.52, 264.56 and 142.44 is: 213.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.52 : 264.56 = 142.44 : x
  2. Step 2: Convert to fraction form
    176.52/264.56 = 142.44/x
  3. Step 3: Cross multiply
    176.52x = 264.56 × 142.44
  4. Step 4: Simplify right side
    176.52x = 37,683.93
  5. Step 5: Solve for x
    x = 37,683.93/176.52
  6. Step 6: Final answer
    x = 213.48

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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.