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Finding the Fourth Proportional to 357.36, 536.19 and 213

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Solution

The fourth proportional to 357.36, 536.19 and 213 is: 319.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.36 : 536.19 = 213 : x
  2. Step 2: Convert to fraction form
    357.36/536.19 = 213/x
  3. Step 3: Cross multiply
    357.36x = 536.19 × 213
  4. Step 4: Simplify right side
    357.36x = 114,208.47
  5. Step 5: Solve for x
    x = 114,208.47/357.36
  6. Step 6: Final answer
    x = 319.59

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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.