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Finding the Fourth Proportional to 150.02, 223.26 and 145.70

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Solution

The fourth proportional to 150.02, 223.26 and 145.70 is: 216.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.02 : 223.26 = 145.70 : x
  2. Step 2: Convert to fraction form
    150.02/223.26 = 145.70/x
  3. Step 3: Cross multiply
    150.02x = 223.26 × 145.70
  4. Step 4: Simplify right side
    150.02x = 32,528.98
  5. Step 5: Solve for x
    x = 32,528.98/150.02
  6. Step 6: Final answer
    x = 216.83

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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.