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Finding the Fourth Proportional to 192.34, 264.90 and 177.22

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Solution

The fourth proportional to 192.34, 264.90 and 177.22 is: 244.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.34 : 264.90 = 177.22 : x
  2. Step 2: Convert to fraction form
    192.34/264.90 = 177.22/x
  3. Step 3: Cross multiply
    192.34x = 264.90 × 177.22
  4. Step 4: Simplify right side
    192.34x = 46,945.58
  5. Step 5: Solve for x
    x = 46,945.58/192.34
  6. Step 6: Final answer
    x = 244.08

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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.