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Finding the Fourth Proportional to 231.66, 319.64 and 157.95

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Solution

The fourth proportional to 231.66, 319.64 and 157.95 is: 217.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.66 : 319.64 = 157.95 : x
  2. Step 2: Convert to fraction form
    231.66/319.64 = 157.95/x
  3. Step 3: Cross multiply
    231.66x = 319.64 × 157.95
  4. Step 4: Simplify right side
    231.66x = 50,486.35
  5. Step 5: Solve for x
    x = 50,486.35/231.66
  6. Step 6: Final answer
    x = 217.93

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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.