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Finding the Fourth Proportional to 149.55, 223.26 and 148.03

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Solution

The fourth proportional to 149.55, 223.26 and 148.03 is: 220.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.55 : 223.26 = 148.03 : x
  2. Step 2: Convert to fraction form
    149.55/223.26 = 148.03/x
  3. Step 3: Cross multiply
    149.55x = 223.26 × 148.03
  4. Step 4: Simplify right side
    149.55x = 33,048.06
  5. Step 5: Solve for x
    x = 33,048.06/149.55
  6. Step 6: Final answer
    x = 220.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.