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Finding the Fourth Proportional to 357.65, 536.17 and 213.06

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Solution

The fourth proportional to 357.65, 536.17 and 213.06 is: 319.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.65 : 536.17 = 213.06 : x
  2. Step 2: Convert to fraction form
    357.65/536.17 = 213.06/x
  3. Step 3: Cross multiply
    357.65x = 536.17 × 213.06
  4. Step 4: Simplify right side
    357.65x = 114,236.38
  5. Step 5: Solve for x
    x = 114,236.38/357.65
  6. Step 6: Final answer
    x = 319.41

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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.