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Finding the Fourth Proportional to 255.88, 352.85 and 219.16

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Solution

The fourth proportional to 255.88, 352.85 and 219.16 is: 302.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.88 : 352.85 = 219.16 : x
  2. Step 2: Convert to fraction form
    255.88/352.85 = 219.16/x
  3. Step 3: Cross multiply
    255.88x = 352.85 × 219.16
  4. Step 4: Simplify right side
    255.88x = 77,330.61
  5. Step 5: Solve for x
    x = 77,330.61/255.88
  6. Step 6: Final answer
    x = 302.21

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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.