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Finding the Fourth Proportional to 265.28, 366.06 and 148.82

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Solution

The fourth proportional to 265.28, 366.06 and 148.82 is: 205.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.28 : 366.06 = 148.82 : x
  2. Step 2: Convert to fraction form
    265.28/366.06 = 148.82/x
  3. Step 3: Cross multiply
    265.28x = 366.06 × 148.82
  4. Step 4: Simplify right side
    265.28x = 54,477.05
  5. Step 5: Solve for x
    x = 54,477.05/265.28
  6. Step 6: Final answer
    x = 205.36

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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.