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Finding the Fourth Proportional to 192.21, 265.21 and 117.46

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Solution

The fourth proportional to 192.21, 265.21 and 117.46 is: 162.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.21 : 265.21 = 117.46 : x
  2. Step 2: Convert to fraction form
    192.21/265.21 = 117.46/x
  3. Step 3: Cross multiply
    192.21x = 265.21 × 117.46
  4. Step 4: Simplify right side
    192.21x = 31,151.57
  5. Step 5: Solve for x
    x = 31,151.57/192.21
  6. Step 6: Final answer
    x = 162.07

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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.