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Finding the Fourth Proportional to 265.53, 366.44 and 149.10

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Solution

The fourth proportional to 265.53, 366.44 and 149.10 is: 205.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.53 : 366.44 = 149.10 : x
  2. Step 2: Convert to fraction form
    265.53/366.44 = 149.10/x
  3. Step 3: Cross multiply
    265.53x = 366.44 × 149.10
  4. Step 4: Simplify right side
    265.53x = 54,633.63
  5. Step 5: Solve for x
    x = 54,633.63/265.53
  6. Step 6: Final answer
    x = 205.75

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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.