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Finding the Fourth Proportional to 240.09, 360.64 and 172.05

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Solution

The fourth proportional to 240.09, 360.64 and 172.05 is: 258.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.09 : 360.64 = 172.05 : x
  2. Step 2: Convert to fraction form
    240.09/360.64 = 172.05/x
  3. Step 3: Cross multiply
    240.09x = 360.64 × 172.05
  4. Step 4: Simplify right side
    240.09x = 62,046.97
  5. Step 5: Solve for x
    x = 62,046.97/240.09
  6. Step 6: Final answer
    x = 258.44

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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.