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Finding the Fourth Proportional to 357.75, 536.58 and 214.38

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Solution

The fourth proportional to 357.75, 536.58 and 214.38 is: 321.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.75 : 536.58 = 214.38 : x
  2. Step 2: Convert to fraction form
    357.75/536.58 = 214.38/x
  3. Step 3: Cross multiply
    357.75x = 536.58 × 214.38
  4. Step 4: Simplify right side
    357.75x = 115,032.02
  5. Step 5: Solve for x
    x = 115,032.02/357.75
  6. Step 6: Final answer
    x = 321.54

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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.