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Finding the Fourth Proportional to 192.50, 265.65 and 114.92

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Solution

The fourth proportional to 192.50, 265.65 and 114.92 is: 158.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.50 : 265.65 = 114.92 : x
  2. Step 2: Convert to fraction form
    192.50/265.65 = 114.92/x
  3. Step 3: Cross multiply
    192.50x = 265.65 × 114.92
  4. Step 4: Simplify right side
    192.50x = 30,528.50
  5. Step 5: Solve for x
    x = 30,528.50/192.50
  6. Step 6: Final answer
    x = 158.59

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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.