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Finding the Fourth Proportional to 348.25, 480.71 and 210.25

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Solution

The fourth proportional to 348.25, 480.71 and 210.25 is: 290.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.25 : 480.71 = 210.25 : x
  2. Step 2: Convert to fraction form
    348.25/480.71 = 210.25/x
  3. Step 3: Cross multiply
    348.25x = 480.71 × 210.25
  4. Step 4: Simplify right side
    348.25x = 101,069.28
  5. Step 5: Solve for x
    x = 101,069.28/348.25
  6. Step 6: Final answer
    x = 290.22

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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.