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Finding the Fourth Proportional to 280.14, 386.55 and 192.93

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Solution

The fourth proportional to 280.14, 386.55 and 192.93 is: 266.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.14 : 386.55 = 192.93 : x
  2. Step 2: Convert to fraction form
    280.14/386.55 = 192.93/x
  3. Step 3: Cross multiply
    280.14x = 386.55 × 192.93
  4. Step 4: Simplify right side
    280.14x = 74,577.09
  5. Step 5: Solve for x
    x = 74,577.09/280.14
  6. Step 6: Final answer
    x = 266.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.