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Finding the Fourth Proportional to 293.95, 441.09 and 156.99

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Solution

The fourth proportional to 293.95, 441.09 and 156.99 is: 235.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.95 : 441.09 = 156.99 : x
  2. Step 2: Convert to fraction form
    293.95/441.09 = 156.99/x
  3. Step 3: Cross multiply
    293.95x = 441.09 × 156.99
  4. Step 4: Simplify right side
    293.95x = 69,246.72
  5. Step 5: Solve for x
    x = 69,246.72/293.95
  6. Step 6: Final answer
    x = 235.57

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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.