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Finding the Fourth Proportional to 172.60, 258.86 and 138.08

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Solution

The fourth proportional to 172.60, 258.86 and 138.08 is: 207.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.60 : 258.86 = 138.08 : x
  2. Step 2: Convert to fraction form
    172.60/258.86 = 138.08/x
  3. Step 3: Cross multiply
    172.60x = 258.86 × 138.08
  4. Step 4: Simplify right side
    172.60x = 35,743.39
  5. Step 5: Solve for x
    x = 35,743.39/172.60
  6. Step 6: Final answer
    x = 207.09

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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.