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Finding the Fourth Proportional to 150.08, 223.84 and 146.24

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Solution

The fourth proportional to 150.08, 223.84 and 146.24 is: 218.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.08 : 223.84 = 146.24 : x
  2. Step 2: Convert to fraction form
    150.08/223.84 = 146.24/x
  3. Step 3: Cross multiply
    150.08x = 223.84 × 146.24
  4. Step 4: Simplify right side
    150.08x = 32,734.36
  5. Step 5: Solve for x
    x = 32,734.36/150.08
  6. Step 6: Final answer
    x = 218.11

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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.