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Finding the Fourth Proportional to 143.07, 214.75 and 139.57

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Solution

The fourth proportional to 143.07, 214.75 and 139.57 is: 209.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.07 : 214.75 = 139.57 : x
  2. Step 2: Convert to fraction form
    143.07/214.75 = 139.57/x
  3. Step 3: Cross multiply
    143.07x = 214.75 × 139.57
  4. Step 4: Simplify right side
    143.07x = 29,973.50
  5. Step 5: Solve for x
    x = 29,973.50/143.07
  6. Step 6: Final answer
    x = 209.51

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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.