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Finding the Fourth Proportional to 192.29, 264.47 and 176.36

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Solution

The fourth proportional to 192.29, 264.47 and 176.36 is: 242.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.29 : 264.47 = 176.36 : x
  2. Step 2: Convert to fraction form
    192.29/264.47 = 176.36/x
  3. Step 3: Cross multiply
    192.29x = 264.47 × 176.36
  4. Step 4: Simplify right side
    192.29x = 46,639.73
  5. Step 5: Solve for x
    x = 46,639.73/192.29
  6. Step 6: Final answer
    x = 242.56

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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.