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Finding the Fourth Proportional to 172.33, 259.71 and 162.07

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Solution

The fourth proportional to 172.33, 259.71 and 162.07 is: 244.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.33 : 259.71 = 162.07 : x
  2. Step 2: Convert to fraction form
    172.33/259.71 = 162.07/x
  3. Step 3: Cross multiply
    172.33x = 259.71 × 162.07
  4. Step 4: Simplify right side
    172.33x = 42,089.94
  5. Step 5: Solve for x
    x = 42,089.94/172.33
  6. Step 6: Final answer
    x = 244.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.