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Finding the Fourth Proportional to 181.92, 271.20 and 172.08

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Solution

The fourth proportional to 181.92, 271.20 and 172.08 is: 256.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.92 : 271.20 = 172.08 : x
  2. Step 2: Convert to fraction form
    181.92/271.20 = 172.08/x
  3. Step 3: Cross multiply
    181.92x = 271.20 × 172.08
  4. Step 4: Simplify right side
    181.92x = 46,668.10
  5. Step 5: Solve for x
    x = 46,668.10/181.92
  6. Step 6: Final answer
    x = 256.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.