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Finding the Fourth Proportional to 181.65, 272.54 and 99.47

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Solution

The fourth proportional to 181.65, 272.54 and 99.47 is: 149.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.65 : 272.54 = 99.47 : x
  2. Step 2: Convert to fraction form
    181.65/272.54 = 99.47/x
  3. Step 3: Cross multiply
    181.65x = 272.54 × 99.47
  4. Step 4: Simplify right side
    181.65x = 27,107.69
  5. Step 5: Solve for x
    x = 27,107.69/181.65
  6. Step 6: Final answer
    x = 149.23

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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.