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Finding the Fourth Proportional to 266.06, 367.10 and 155.48

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Solution

The fourth proportional to 266.06, 367.10 and 155.48 is: 214.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.06 : 367.10 = 155.48 : x
  2. Step 2: Convert to fraction form
    266.06/367.10 = 155.48/x
  3. Step 3: Cross multiply
    266.06x = 367.10 × 155.48
  4. Step 4: Simplify right side
    266.06x = 57,076.71
  5. Step 5: Solve for x
    x = 57,076.71/266.06
  6. Step 6: Final answer
    x = 214.53

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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.