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Finding the Fourth Proportional to 293.10, 439.74 and 139.14

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Solution

The fourth proportional to 293.10, 439.74 and 139.14 is: 208.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.10 : 439.74 = 139.14 : x
  2. Step 2: Convert to fraction form
    293.10/439.74 = 139.14/x
  3. Step 3: Cross multiply
    293.10x = 439.74 × 139.14
  4. Step 4: Simplify right side
    293.10x = 61,185.42
  5. Step 5: Solve for x
    x = 61,185.42/293.10
  6. Step 6: Final answer
    x = 208.75

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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.