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Finding the Fourth Proportional to 192.83, 287.75 and 172.31

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Solution

The fourth proportional to 192.83, 287.75 and 172.31 is: 257.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.83 : 287.75 = 172.31 : x
  2. Step 2: Convert to fraction form
    192.83/287.75 = 172.31/x
  3. Step 3: Cross multiply
    192.83x = 287.75 × 172.31
  4. Step 4: Simplify right side
    192.83x = 49,582.06
  5. Step 5: Solve for x
    x = 49,582.06/192.83
  6. Step 6: Final answer
    x = 257.14

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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.