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Finding the Fourth Proportional to 213.41, 319.66 and 181.06

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Solution

The fourth proportional to 213.41, 319.66 and 181.06 is: 271.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.41 : 319.66 = 181.06 : x
  2. Step 2: Convert to fraction form
    213.41/319.66 = 181.06/x
  3. Step 3: Cross multiply
    213.41x = 319.66 × 181.06
  4. Step 4: Simplify right side
    213.41x = 57,877.64
  5. Step 5: Solve for x
    x = 57,877.64/213.41
  6. Step 6: Final answer
    x = 271.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.