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Finding the Fourth Proportional to 355.60, 533.36 and 150.20

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Solution

The fourth proportional to 355.60, 533.36 and 150.20 is: 225.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.60 : 533.36 = 150.20 : x
  2. Step 2: Convert to fraction form
    355.60/533.36 = 150.20/x
  3. Step 3: Cross multiply
    355.60x = 533.36 × 150.20
  4. Step 4: Simplify right side
    355.60x = 80,110.67
  5. Step 5: Solve for x
    x = 80,110.67/355.60
  6. Step 6: Final answer
    x = 225.28

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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.