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Finding the Fourth Proportional to 231.08, 319.07 and 178.55

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Solution

The fourth proportional to 231.08, 319.07 and 178.55 is: 246.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.08 : 319.07 = 178.55 : x
  2. Step 2: Convert to fraction form
    231.08/319.07 = 178.55/x
  3. Step 3: Cross multiply
    231.08x = 319.07 × 178.55
  4. Step 4: Simplify right side
    231.08x = 56,967.46
  5. Step 5: Solve for x
    x = 56,967.46/231.08
  6. Step 6: Final answer
    x = 246.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.