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Finding the Fourth Proportional to 142.51, 214.81 and 139.27

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Solution

The fourth proportional to 142.51, 214.81 and 139.27 is: 209.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.51 : 214.81 = 139.27 : x
  2. Step 2: Convert to fraction form
    142.51/214.81 = 139.27/x
  3. Step 3: Cross multiply
    142.51x = 214.81 × 139.27
  4. Step 4: Simplify right side
    142.51x = 29,916.59
  5. Step 5: Solve for x
    x = 29,916.59/142.51
  6. Step 6: Final answer
    x = 209.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.