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Finding the Fourth Proportional to 193.88, 290.58 and 172.16

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Solution

The fourth proportional to 193.88, 290.58 and 172.16 is: 258.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.88 : 290.58 = 172.16 : x
  2. Step 2: Convert to fraction form
    193.88/290.58 = 172.16/x
  3. Step 3: Cross multiply
    193.88x = 290.58 × 172.16
  4. Step 4: Simplify right side
    193.88x = 50,026.25
  5. Step 5: Solve for x
    x = 50,026.25/193.88
  6. Step 6: Final answer
    x = 258.03

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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.