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Finding the Fourth Proportional to 178.93, 268.52 and 153.55

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Solution

The fourth proportional to 178.93, 268.52 and 153.55 is: 230.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.93 : 268.52 = 153.55 : x
  2. Step 2: Convert to fraction form
    178.93/268.52 = 153.55/x
  3. Step 3: Cross multiply
    178.93x = 268.52 × 153.55
  4. Step 4: Simplify right side
    178.93x = 41,231.25
  5. Step 5: Solve for x
    x = 41,231.25/178.93
  6. Step 6: Final answer
    x = 230.43

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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.