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Finding the Fourth Proportional to 192.27, 265.32 and 178.35

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Solution

The fourth proportional to 192.27, 265.32 and 178.35 is: 246.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.27 : 265.32 = 178.35 : x
  2. Step 2: Convert to fraction form
    192.27/265.32 = 178.35/x
  3. Step 3: Cross multiply
    192.27x = 265.32 × 178.35
  4. Step 4: Simplify right side
    192.27x = 47,319.82
  5. Step 5: Solve for x
    x = 47,319.82/192.27
  6. Step 6: Final answer
    x = 246.11

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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.