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Finding the Fourth Proportional to 293.16, 438.84 and 249.81

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Solution

The fourth proportional to 293.16, 438.84 and 249.81 is: 373.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.16 : 438.84 = 249.81 : x
  2. Step 2: Convert to fraction form
    293.16/438.84 = 249.81/x
  3. Step 3: Cross multiply
    293.16x = 438.84 × 249.81
  4. Step 4: Simplify right side
    293.16x = 109,626.62
  5. Step 5: Solve for x
    x = 109,626.62/293.16
  6. Step 6: Final answer
    x = 373.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.