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Finding the Fourth Proportional to 265.90, 366.83 and 192.06

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Solution

The fourth proportional to 265.90, 366.83 and 192.06 is: 264.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.90 : 366.83 = 192.06 : x
  2. Step 2: Convert to fraction form
    265.90/366.83 = 192.06/x
  3. Step 3: Cross multiply
    265.90x = 366.83 × 192.06
  4. Step 4: Simplify right side
    265.90x = 70,451.54
  5. Step 5: Solve for x
    x = 70,451.54/265.90
  6. Step 6: Final answer
    x = 264.96

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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.