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Finding the Fourth Proportional to 192.54, 265.39 and 130.35

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Solution

The fourth proportional to 192.54, 265.39 and 130.35 is: 179.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.54 : 265.39 = 130.35 : x
  2. Step 2: Convert to fraction form
    192.54/265.39 = 130.35/x
  3. Step 3: Cross multiply
    192.54x = 265.39 × 130.35
  4. Step 4: Simplify right side
    192.54x = 34,591.61
  5. Step 5: Solve for x
    x = 34,591.61/192.54
  6. Step 6: Final answer
    x = 179.66

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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.