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Finding the Fourth Proportional to 231.64, 319.74 and 192.28

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Solution

The fourth proportional to 231.64, 319.74 and 192.28 is: 265.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.64 : 319.74 = 192.28 : x
  2. Step 2: Convert to fraction form
    231.64/319.74 = 192.28/x
  3. Step 3: Cross multiply
    231.64x = 319.74 × 192.28
  4. Step 4: Simplify right side
    231.64x = 61,479.61
  5. Step 5: Solve for x
    x = 61,479.61/231.64
  6. Step 6: Final answer
    x = 265.41

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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.