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Finding the Fourth Proportional to 192.71, 265.55 and 133.71

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Solution

The fourth proportional to 192.71, 265.55 and 133.71 is: 184.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.71 : 265.55 = 133.71 : x
  2. Step 2: Convert to fraction form
    192.71/265.55 = 133.71/x
  3. Step 3: Cross multiply
    192.71x = 265.55 × 133.71
  4. Step 4: Simplify right side
    192.71x = 35,506.02
  5. Step 5: Solve for x
    x = 35,506.02/192.71
  6. Step 6: Final answer
    x = 184.25

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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.