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Finding the Fourth Proportional to 357.63, 535.83 and 174.77

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Solution

The fourth proportional to 357.63, 535.83 and 174.77 is: 261.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.63 : 535.83 = 174.77 : x
  2. Step 2: Convert to fraction form
    357.63/535.83 = 174.77/x
  3. Step 3: Cross multiply
    357.63x = 535.83 × 174.77
  4. Step 4: Simplify right side
    357.63x = 93,647.01
  5. Step 5: Solve for x
    x = 93,647.01/357.63
  6. Step 6: Final answer
    x = 261.85

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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.