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Finding the Fourth Proportional to 293.15, 439.73 and 100.77

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Solution

The fourth proportional to 293.15, 439.73 and 100.77 is: 151.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.15 : 439.73 = 100.77 : x
  2. Step 2: Convert to fraction form
    293.15/439.73 = 100.77/x
  3. Step 3: Cross multiply
    293.15x = 439.73 × 100.77
  4. Step 4: Simplify right side
    293.15x = 44,311.09
  5. Step 5: Solve for x
    x = 44,311.09/293.15
  6. Step 6: Final answer
    x = 151.16

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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.