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Finding the Fourth Proportional to 192.74, 265.82 and 130.64

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Solution

The fourth proportional to 192.74, 265.82 and 130.64 is: 180.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.74 : 265.82 = 130.64 : x
  2. Step 2: Convert to fraction form
    192.74/265.82 = 130.64/x
  3. Step 3: Cross multiply
    192.74x = 265.82 × 130.64
  4. Step 4: Simplify right side
    192.74x = 34,726.72
  5. Step 5: Solve for x
    x = 34,726.72/192.74
  6. Step 6: Final answer
    x = 180.17

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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.