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Finding the Fourth Proportional to 181.26, 271.63 and 98.93

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Solution

The fourth proportional to 181.26, 271.63 and 98.93 is: 148.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.26 : 271.63 = 98.93 : x
  2. Step 2: Convert to fraction form
    181.26/271.63 = 98.93/x
  3. Step 3: Cross multiply
    181.26x = 271.63 × 98.93
  4. Step 4: Simplify right side
    181.26x = 26,872.36
  5. Step 5: Solve for x
    x = 26,872.36/181.26
  6. Step 6: Final answer
    x = 148.25

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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.