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Finding the Fourth Proportional to 265.74, 366.69 and 149.31

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Solution

The fourth proportional to 265.74, 366.69 and 149.31 is: 206.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.74 : 366.69 = 149.31 : x
  2. Step 2: Convert to fraction form
    265.74/366.69 = 149.31/x
  3. Step 3: Cross multiply
    265.74x = 366.69 × 149.31
  4. Step 4: Simplify right side
    265.74x = 54,750.48
  5. Step 5: Solve for x
    x = 54,750.48/265.74
  6. Step 6: Final answer
    x = 206.03

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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.