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Finding the Fourth Proportional to 176.60, 264.57 and 142.38

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Solution

The fourth proportional to 176.60, 264.57 and 142.38 is: 213.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.60 : 264.57 = 142.38 : x
  2. Step 2: Convert to fraction form
    176.60/264.57 = 142.38/x
  3. Step 3: Cross multiply
    176.60x = 264.57 × 142.38
  4. Step 4: Simplify right side
    176.60x = 37,669.48
  5. Step 5: Solve for x
    x = 37,669.48/176.60
  6. Step 6: Final answer
    x = 213.31

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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.