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Finding the Fourth Proportional to 150.21, 223.65 and 148.02

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Solution

The fourth proportional to 150.21, 223.65 and 148.02 is: 220.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.21 : 223.65 = 148.02 : x
  2. Step 2: Convert to fraction form
    150.21/223.65 = 148.02/x
  3. Step 3: Cross multiply
    150.21x = 223.65 × 148.02
  4. Step 4: Simplify right side
    150.21x = 33,104.67
  5. Step 5: Solve for x
    x = 33,104.67/150.21
  6. Step 6: Final answer
    x = 220.39

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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.