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Finding the Fourth Proportional to 166.36, 250.59 and 142.06

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Solution

The fourth proportional to 166.36, 250.59 and 142.06 is: 213.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.36 : 250.59 = 142.06 : x
  2. Step 2: Convert to fraction form
    166.36/250.59 = 142.06/x
  3. Step 3: Cross multiply
    166.36x = 250.59 × 142.06
  4. Step 4: Simplify right side
    166.36x = 35,598.82
  5. Step 5: Solve for x
    x = 35,598.82/166.36
  6. Step 6: Final answer
    x = 213.99

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