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Finding the Fourth Proportional to 265.94, 367.01 and 149.50

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Solution

The fourth proportional to 265.94, 367.01 and 149.50 is: 206.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.94 : 367.01 = 149.50 : x
  2. Step 2: Convert to fraction form
    265.94/367.01 = 149.50/x
  3. Step 3: Cross multiply
    265.94x = 367.01 × 149.50
  4. Step 4: Simplify right side
    265.94x = 54,868.00
  5. Step 5: Solve for x
    x = 54,868.00/265.94
  6. Step 6: Final answer
    x = 206.32

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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.