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Finding the Fourth Proportional to 218.88, 301.76 and 153.20

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Solution

The fourth proportional to 218.88, 301.76 and 153.20 is: 211.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.88 : 301.76 = 153.20 : x
  2. Step 2: Convert to fraction form
    218.88/301.76 = 153.20/x
  3. Step 3: Cross multiply
    218.88x = 301.76 × 153.20
  4. Step 4: Simplify right side
    218.88x = 46,229.63
  5. Step 5: Solve for x
    x = 46,229.63/218.88
  6. Step 6: Final answer
    x = 211.21

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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.