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Finding the Fourth Proportional to 192.81, 266.08 and 105.49

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Solution

The fourth proportional to 192.81, 266.08 and 105.49 is: 145.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.81 : 266.08 = 105.49 : x
  2. Step 2: Convert to fraction form
    192.81/266.08 = 105.49/x
  3. Step 3: Cross multiply
    192.81x = 266.08 × 105.49
  4. Step 4: Simplify right side
    192.81x = 28,068.78
  5. Step 5: Solve for x
    x = 28,068.78/192.81
  6. Step 6: Final answer
    x = 145.58

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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.