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Finding the Fourth Proportional to 218.22, 301.47 and 176.15

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Solution

The fourth proportional to 218.22, 301.47 and 176.15 is: 243.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.22 : 301.47 = 176.15 : x
  2. Step 2: Convert to fraction form
    218.22/301.47 = 176.15/x
  3. Step 3: Cross multiply
    218.22x = 301.47 × 176.15
  4. Step 4: Simplify right side
    218.22x = 53,102.43
  5. Step 5: Solve for x
    x = 53,102.43/218.22
  6. Step 6: Final answer
    x = 243.34

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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.