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Finding the Fourth Proportional to 357.71, 536.67 and 149.57

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Solution

The fourth proportional to 357.71, 536.67 and 149.57 is: 224.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.71 : 536.67 = 149.57 : x
  2. Step 2: Convert to fraction form
    357.71/536.67 = 149.57/x
  3. Step 3: Cross multiply
    357.71x = 536.67 × 149.57
  4. Step 4: Simplify right side
    357.71x = 80,272.08
  5. Step 5: Solve for x
    x = 80,272.08/357.71
  6. Step 6: Final answer
    x = 224.41

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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.