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Finding the Fourth Proportional to 266.26, 367.46 and 155.74

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Solution

The fourth proportional to 266.26, 367.46 and 155.74 is: 214.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.26 : 367.46 = 155.74 : x
  2. Step 2: Convert to fraction form
    266.26/367.46 = 155.74/x
  3. Step 3: Cross multiply
    266.26x = 367.46 × 155.74
  4. Step 4: Simplify right side
    266.26x = 57,228.22
  5. Step 5: Solve for x
    x = 57,228.22/266.26
  6. Step 6: Final answer
    x = 214.93

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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.