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Finding the Fourth Proportional to 272.74, 375.98 and 189.72

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Solution

The fourth proportional to 272.74, 375.98 and 189.72 is: 261.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.74 : 375.98 = 189.72 : x
  2. Step 2: Convert to fraction form
    272.74/375.98 = 189.72/x
  3. Step 3: Cross multiply
    272.74x = 375.98 × 189.72
  4. Step 4: Simplify right side
    272.74x = 71,330.93
  5. Step 5: Solve for x
    x = 71,330.93/272.74
  6. Step 6: Final answer
    x = 261.53

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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.