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Finding the Fourth Proportional to 355.66, 533.72 and 139.25

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Solution

The fourth proportional to 355.66, 533.72 and 139.25 is: 208.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.66 : 533.72 = 139.25 : x
  2. Step 2: Convert to fraction form
    355.66/533.72 = 139.25/x
  3. Step 3: Cross multiply
    355.66x = 533.72 × 139.25
  4. Step 4: Simplify right side
    355.66x = 74,322.19
  5. Step 5: Solve for x
    x = 74,322.19/355.66
  6. Step 6: Final answer
    x = 208.97

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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.