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Finding the Fourth Proportional to 254.00, 380.09 and 172.60

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Solution

The fourth proportional to 254.00, 380.09 and 172.60 is: 258.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.00 : 380.09 = 172.60 : x
  2. Step 2: Convert to fraction form
    254.00/380.09 = 172.60/x
  3. Step 3: Cross multiply
    254.00x = 380.09 × 172.60
  4. Step 4: Simplify right side
    254.00x = 65,603.02
  5. Step 5: Solve for x
    x = 65,603.02/254.00
  6. Step 6: Final answer
    x = 258.28

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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.