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Finding the Fourth Proportional to 355.58, 533.72 and 225.84

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Solution

The fourth proportional to 355.58, 533.72 and 225.84 is: 338.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.58 : 533.72 = 225.84 : x
  2. Step 2: Convert to fraction form
    355.58/533.72 = 225.84/x
  3. Step 3: Cross multiply
    355.58x = 533.72 × 225.84
  4. Step 4: Simplify right side
    355.58x = 120,535.32
  5. Step 5: Solve for x
    x = 120,535.32/355.58
  6. Step 6: Final answer
    x = 338.98

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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.