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Finding the Fourth Proportional to 150.04, 223.52 and 143.02

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Solution

The fourth proportional to 150.04, 223.52 and 143.02 is: 213.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.04 : 223.52 = 143.02 : x
  2. Step 2: Convert to fraction form
    150.04/223.52 = 143.02/x
  3. Step 3: Cross multiply
    150.04x = 223.52 × 143.02
  4. Step 4: Simplify right side
    150.04x = 31,967.83
  5. Step 5: Solve for x
    x = 31,967.83/150.04
  6. Step 6: Final answer
    x = 213.06

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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.