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Finding the Fourth Proportional to 192.29, 265.32 and 142.58

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Solution

The fourth proportional to 192.29, 265.32 and 142.58 is: 196.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.29 : 265.32 = 142.58 : x
  2. Step 2: Convert to fraction form
    192.29/265.32 = 142.58/x
  3. Step 3: Cross multiply
    192.29x = 265.32 × 142.58
  4. Step 4: Simplify right side
    192.29x = 37,828.00
  5. Step 5: Solve for x
    x = 37,828.00/192.29
  6. Step 6: Final answer
    x = 196.72

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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.