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Finding the Fourth Proportional to 192.66, 287.03 and 186.14

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Solution

The fourth proportional to 192.66, 287.03 and 186.14 is: 277.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.66 : 287.03 = 186.14 : x
  2. Step 2: Convert to fraction form
    192.66/287.03 = 186.14/x
  3. Step 3: Cross multiply
    192.66x = 287.03 × 186.14
  4. Step 4: Simplify right side
    192.66x = 53,425.40
  5. Step 5: Solve for x
    x = 53,425.40/192.66
  6. Step 6: Final answer
    x = 277.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.