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Finding the Fourth Proportional to 293.48, 439.58 and 165.16

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Solution

The fourth proportional to 293.48, 439.58 and 165.16 is: 247.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.48 : 439.58 = 165.16 : x
  2. Step 2: Convert to fraction form
    293.48/439.58 = 165.16/x
  3. Step 3: Cross multiply
    293.48x = 439.58 × 165.16
  4. Step 4: Simplify right side
    293.48x = 72,601.03
  5. Step 5: Solve for x
    x = 72,601.03/293.48
  6. Step 6: Final answer
    x = 247.38

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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.