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Finding the Fourth Proportional to 293.10, 439.77 and 139.13

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Solution

The fourth proportional to 293.10, 439.77 and 139.13 is: 208.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.10 : 439.77 = 139.13 : x
  2. Step 2: Convert to fraction form
    293.10/439.77 = 139.13/x
  3. Step 3: Cross multiply
    293.10x = 439.77 × 139.13
  4. Step 4: Simplify right side
    293.10x = 61,185.20
  5. Step 5: Solve for x
    x = 61,185.20/293.10
  6. Step 6: Final answer
    x = 208.76

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Why These Related Problems?

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