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Finding the Fourth Proportional to 357.15, 535.83 and 235.65

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Solution

The fourth proportional to 357.15, 535.83 and 235.65 is: 353.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.15 : 535.83 = 235.65 : x
  2. Step 2: Convert to fraction form
    357.15/535.83 = 235.65/x
  3. Step 3: Cross multiply
    357.15x = 535.83 × 235.65
  4. Step 4: Simplify right side
    357.15x = 126,268.34
  5. Step 5: Solve for x
    x = 126,268.34/357.15
  6. Step 6: Final answer
    x = 353.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.