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Finding the Fourth Proportional to 192.72, 265.80 and 157.74

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Solution

The fourth proportional to 192.72, 265.80 and 157.74 is: 217.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.72 : 265.80 = 157.74 : x
  2. Step 2: Convert to fraction form
    192.72/265.80 = 157.74/x
  3. Step 3: Cross multiply
    192.72x = 265.80 × 157.74
  4. Step 4: Simplify right side
    192.72x = 41,927.29
  5. Step 5: Solve for x
    x = 41,927.29/192.72
  6. Step 6: Final answer
    x = 217.56

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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.