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Finding the Fourth Proportional to 255.02, 351.84 and 172.22

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Solution

The fourth proportional to 255.02, 351.84 and 172.22 is: 237.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.02 : 351.84 = 172.22 : x
  2. Step 2: Convert to fraction form
    255.02/351.84 = 172.22/x
  3. Step 3: Cross multiply
    255.02x = 351.84 × 172.22
  4. Step 4: Simplify right side
    255.02x = 60,593.88
  5. Step 5: Solve for x
    x = 60,593.88/255.02
  6. Step 6: Final answer
    x = 237.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.