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Finding the Fourth Proportional to 293.08, 439.80 and 100.84

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Solution

The fourth proportional to 293.08, 439.80 and 100.84 is: 151.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.08 : 439.80 = 100.84 : x
  2. Step 2: Convert to fraction form
    293.08/439.80 = 100.84/x
  3. Step 3: Cross multiply
    293.08x = 439.80 × 100.84
  4. Step 4: Simplify right side
    293.08x = 44,349.43
  5. Step 5: Solve for x
    x = 44,349.43/293.08
  6. Step 6: Final answer
    x = 151.32

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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.