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Finding the Fourth Proportional to 266.60, 367.92 and 148.59

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Solution

The fourth proportional to 266.60, 367.92 and 148.59 is: 205.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.60 : 367.92 = 148.59 : x
  2. Step 2: Convert to fraction form
    266.60/367.92 = 148.59/x
  3. Step 3: Cross multiply
    266.60x = 367.92 × 148.59
  4. Step 4: Simplify right side
    266.60x = 54,669.23
  5. Step 5: Solve for x
    x = 54,669.23/266.60
  6. Step 6: Final answer
    x = 205.06

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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.