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Finding the Fourth Proportional to 192.16, 265.15 and 109.25

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Solution

The fourth proportional to 192.16, 265.15 and 109.25 is: 150.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.16 : 265.15 = 109.25 : x
  2. Step 2: Convert to fraction form
    192.16/265.15 = 109.25/x
  3. Step 3: Cross multiply
    192.16x = 265.15 × 109.25
  4. Step 4: Simplify right side
    192.16x = 28,967.64
  5. Step 5: Solve for x
    x = 28,967.64/192.16
  6. Step 6: Final answer
    x = 150.75

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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.