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Finding the Fourth Proportional to 166.02, 249.93 and 142.53

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Solution

The fourth proportional to 166.02, 249.93 and 142.53 is: 214.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.02 : 249.93 = 142.53 : x
  2. Step 2: Convert to fraction form
    166.02/249.93 = 142.53/x
  3. Step 3: Cross multiply
    166.02x = 249.93 × 142.53
  4. Step 4: Simplify right side
    166.02x = 35,622.52
  5. Step 5: Solve for x
    x = 35,622.52/166.02
  6. Step 6: Final answer
    x = 214.57

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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.