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Finding the Fourth Proportional to 355.34, 533.26 and 138.98

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Solution

The fourth proportional to 355.34, 533.26 and 138.98 is: 208.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.34 : 533.26 = 138.98 : x
  2. Step 2: Convert to fraction form
    355.34/533.26 = 138.98/x
  3. Step 3: Cross multiply
    355.34x = 533.26 × 138.98
  4. Step 4: Simplify right side
    355.34x = 74,112.47
  5. Step 5: Solve for x
    x = 74,112.47/355.34
  6. Step 6: Final answer
    x = 208.57

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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.