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Finding the Fourth Proportional to 178.52, 268.14 and 173.48

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Solution

The fourth proportional to 178.52, 268.14 and 173.48 is: 260.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.52 : 268.14 = 173.48 : x
  2. Step 2: Convert to fraction form
    178.52/268.14 = 173.48/x
  3. Step 3: Cross multiply
    178.52x = 268.14 × 173.48
  4. Step 4: Simplify right side
    178.52x = 46,516.93
  5. Step 5: Solve for x
    x = 46,516.93/178.52
  6. Step 6: Final answer
    x = 260.57

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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.