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Finding the Fourth Proportional to 272.85, 376.13 and 189.93

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Solution

The fourth proportional to 272.85, 376.13 and 189.93 is: 261.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.85 : 376.13 = 189.93 : x
  2. Step 2: Convert to fraction form
    272.85/376.13 = 189.93/x
  3. Step 3: Cross multiply
    272.85x = 376.13 × 189.93
  4. Step 4: Simplify right side
    272.85x = 71,437.42
  5. Step 5: Solve for x
    x = 71,437.42/272.85
  6. Step 6: Final answer
    x = 261.82

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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.