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Finding the Fourth Proportional to 192.50, 265.62 and 118.72

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Solution

The fourth proportional to 192.50, 265.62 and 118.72 is: 163.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.50 : 265.62 = 118.72 : x
  2. Step 2: Convert to fraction form
    192.50/265.62 = 118.72/x
  3. Step 3: Cross multiply
    192.50x = 265.62 × 118.72
  4. Step 4: Simplify right side
    192.50x = 31,534.41
  5. Step 5: Solve for x
    x = 31,534.41/192.50
  6. Step 6: Final answer
    x = 163.82

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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.