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Finding the Fourth Proportional to 354.15, 488.66 and 214.23

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Solution

The fourth proportional to 354.15, 488.66 and 214.23 is: 295.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.15 : 488.66 = 214.23 : x
  2. Step 2: Convert to fraction form
    354.15/488.66 = 214.23/x
  3. Step 3: Cross multiply
    354.15x = 488.66 × 214.23
  4. Step 4: Simplify right side
    354.15x = 104,684.56
  5. Step 5: Solve for x
    x = 104,684.56/354.15
  6. Step 6: Final answer
    x = 295.59

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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.