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Finding the Fourth Proportional to 164.53, 247.69 and 142.21

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Solution

The fourth proportional to 164.53, 247.69 and 142.21 is: 214.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.53 : 247.69 = 142.21 : x
  2. Step 2: Convert to fraction form
    164.53/247.69 = 142.21/x
  3. Step 3: Cross multiply
    164.53x = 247.69 × 142.21
  4. Step 4: Simplify right side
    164.53x = 35,223.99
  5. Step 5: Solve for x
    x = 35,223.99/164.53
  6. Step 6: Final answer
    x = 214.09

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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.