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Finding the Fourth Proportional to 270.22, 372.56 and 176.84

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Solution

The fourth proportional to 270.22, 372.56 and 176.84 is: 243.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.22 : 372.56 = 176.84 : x
  2. Step 2: Convert to fraction form
    270.22/372.56 = 176.84/x
  3. Step 3: Cross multiply
    270.22x = 372.56 × 176.84
  4. Step 4: Simplify right side
    270.22x = 65,883.51
  5. Step 5: Solve for x
    x = 65,883.51/270.22
  6. Step 6: Final answer
    x = 243.81

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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.