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Finding the Fourth Proportional to 293.47, 439.72 and 139.37

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Solution

The fourth proportional to 293.47, 439.72 and 139.37 is: 208.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.47 : 439.72 = 139.37 : x
  2. Step 2: Convert to fraction form
    293.47/439.72 = 139.37/x
  3. Step 3: Cross multiply
    293.47x = 439.72 × 139.37
  4. Step 4: Simplify right side
    293.47x = 61,281.23
  5. Step 5: Solve for x
    x = 61,281.23/293.47
  6. Step 6: Final answer
    x = 208.82

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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.