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Finding the Fourth Proportional to 355.82, 533.65 and 121.59

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Solution

The fourth proportional to 355.82, 533.65 and 121.59 is: 182.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.82 : 533.65 = 121.59 : x
  2. Step 2: Convert to fraction form
    355.82/533.65 = 121.59/x
  3. Step 3: Cross multiply
    355.82x = 533.65 × 121.59
  4. Step 4: Simplify right side
    355.82x = 64,885.85
  5. Step 5: Solve for x
    x = 64,885.85/355.82
  6. Step 6: Final answer
    x = 182.36

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