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Finding the Fourth Proportional to 178.72, 265.97 and 171.04

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Solution

The fourth proportional to 178.72, 265.97 and 171.04 is: 254.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.72 : 265.97 = 171.04 : x
  2. Step 2: Convert to fraction form
    178.72/265.97 = 171.04/x
  3. Step 3: Cross multiply
    178.72x = 265.97 × 171.04
  4. Step 4: Simplify right side
    178.72x = 45,491.51
  5. Step 5: Solve for x
    x = 45,491.51/178.72
  6. Step 6: Final answer
    x = 254.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.