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Finding the Fourth Proportional to 265.56, 366.40 and 149.12

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Solution

The fourth proportional to 265.56, 366.40 and 149.12 is: 205.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.56 : 366.40 = 149.12 : x
  2. Step 2: Convert to fraction form
    265.56/366.40 = 149.12/x
  3. Step 3: Cross multiply
    265.56x = 366.40 × 149.12
  4. Step 4: Simplify right side
    265.56x = 54,637.57
  5. Step 5: Solve for x
    x = 54,637.57/265.56
  6. Step 6: Final answer
    x = 205.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.