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Finding the Fourth Proportional to 178.48, 268.04 and 171.92

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Solution

The fourth proportional to 178.48, 268.04 and 171.92 is: 258.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.48 : 268.04 = 171.92 : x
  2. Step 2: Convert to fraction form
    178.48/268.04 = 171.92/x
  3. Step 3: Cross multiply
    178.48x = 268.04 × 171.92
  4. Step 4: Simplify right side
    178.48x = 46,081.44
  5. Step 5: Solve for x
    x = 46,081.44/178.48
  6. Step 6: Final answer
    x = 258.19

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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.