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Finding the Fourth Proportional to 192.48, 265.64 and 109.59

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Solution

The fourth proportional to 192.48, 265.64 and 109.59 is: 151.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.48 : 265.64 = 109.59 : x
  2. Step 2: Convert to fraction form
    192.48/265.64 = 109.59/x
  3. Step 3: Cross multiply
    192.48x = 265.64 × 109.59
  4. Step 4: Simplify right side
    192.48x = 29,109.94
  5. Step 5: Solve for x
    x = 29,109.94/192.48
  6. Step 6: Final answer
    x = 151.24

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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.