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Finding the Fourth Proportional to 293.07, 439.67 and 156.07

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Solution

The fourth proportional to 293.07, 439.67 and 156.07 is: 234.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.07 : 439.67 = 156.07 : x
  2. Step 2: Convert to fraction form
    293.07/439.67 = 156.07/x
  3. Step 3: Cross multiply
    293.07x = 439.67 × 156.07
  4. Step 4: Simplify right side
    293.07x = 68,619.30
  5. Step 5: Solve for x
    x = 68,619.30/293.07
  6. Step 6: Final answer
    x = 234.14

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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.