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Finding the Fourth Proportional to 192.52, 265.59 and 118.70

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Solution

The fourth proportional to 192.52, 265.59 and 118.70 is: 163.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.52 : 265.59 = 118.70 : x
  2. Step 2: Convert to fraction form
    192.52/265.59 = 118.70/x
  3. Step 3: Cross multiply
    192.52x = 265.59 × 118.70
  4. Step 4: Simplify right side
    192.52x = 31,525.53
  5. Step 5: Solve for x
    x = 31,525.53/192.52
  6. Step 6: Final answer
    x = 163.75

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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.