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Finding the Fourth Proportional to 355.94, 533.53 and 150.25

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Solution

The fourth proportional to 355.94, 533.53 and 150.25 is: 225.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.94 : 533.53 = 150.25 : x
  2. Step 2: Convert to fraction form
    355.94/533.53 = 150.25/x
  3. Step 3: Cross multiply
    355.94x = 533.53 × 150.25
  4. Step 4: Simplify right side
    355.94x = 80,162.13
  5. Step 5: Solve for x
    x = 80,162.13/355.94
  6. Step 6: Final answer
    x = 225.21

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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.