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Finding the Fourth Proportional to 357.54, 535.97 and 172.35

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Solution

The fourth proportional to 357.54, 535.97 and 172.35 is: 258.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.54 : 535.97 = 172.35 : x
  2. Step 2: Convert to fraction form
    357.54/535.97 = 172.35/x
  3. Step 3: Cross multiply
    357.54x = 535.97 × 172.35
  4. Step 4: Simplify right side
    357.54x = 92,373.57
  5. Step 5: Solve for x
    x = 92,373.57/357.54
  6. Step 6: Final answer
    x = 258.36

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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.