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Finding the Fourth Proportional to 321.95, 482.51 and 139.16

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Solution

The fourth proportional to 321.95, 482.51 and 139.16 is: 208.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.95 : 482.51 = 139.16 : x
  2. Step 2: Convert to fraction form
    321.95/482.51 = 139.16/x
  3. Step 3: Cross multiply
    321.95x = 482.51 × 139.16
  4. Step 4: Simplify right side
    321.95x = 67,146.09
  5. Step 5: Solve for x
    x = 67,146.09/321.95
  6. Step 6: Final answer
    x = 208.56

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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.