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Finding the Fourth Proportional to 348.77, 481.34 and 216.02

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Solution

The fourth proportional to 348.77, 481.34 and 216.02 is: 298.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.77 : 481.34 = 216.02 : x
  2. Step 2: Convert to fraction form
    348.77/481.34 = 216.02/x
  3. Step 3: Cross multiply
    348.77x = 481.34 × 216.02
  4. Step 4: Simplify right side
    348.77x = 103,980.81
  5. Step 5: Solve for x
    x = 103,980.81/348.77
  6. Step 6: Final answer
    x = 298.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.