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Finding the Fourth Proportional to 265.33, 366.15 and 148.87

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Solution

The fourth proportional to 265.33, 366.15 and 148.87 is: 205.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.33 : 366.15 = 148.87 : x
  2. Step 2: Convert to fraction form
    265.33/366.15 = 148.87/x
  3. Step 3: Cross multiply
    265.33x = 366.15 × 148.87
  4. Step 4: Simplify right side
    265.33x = 54,508.01
  5. Step 5: Solve for x
    x = 54,508.01/265.33
  6. Step 6: Final answer
    x = 205.43

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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.