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Finding the Fourth Proportional to 355.64, 533.61 and 150.23

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Solution

The fourth proportional to 355.64, 533.61 and 150.23 is: 225.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.64 : 533.61 = 150.23 : x
  2. Step 2: Convert to fraction form
    355.64/533.61 = 150.23/x
  3. Step 3: Cross multiply
    355.64x = 533.61 × 150.23
  4. Step 4: Simplify right side
    355.64x = 80,161.56
  5. Step 5: Solve for x
    x = 80,161.56/355.64
  6. Step 6: Final answer
    x = 225.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.