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Finding the Fourth Proportional to 192.59, 265.64 and 140.08

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Solution

The fourth proportional to 192.59, 265.64 and 140.08 is: 193.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.59 : 265.64 = 140.08 : x
  2. Step 2: Convert to fraction form
    192.59/265.64 = 140.08/x
  3. Step 3: Cross multiply
    192.59x = 265.64 × 140.08
  4. Step 4: Simplify right side
    192.59x = 37,210.85
  5. Step 5: Solve for x
    x = 37,210.85/192.59
  6. Step 6: Final answer
    x = 193.21

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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.