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Finding the Fourth Proportional to 183.42, 251.64 and 172.98

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Solution

The fourth proportional to 183.42, 251.64 and 172.98 is: 237.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.42 : 251.64 = 172.98 : x
  2. Step 2: Convert to fraction form
    183.42/251.64 = 172.98/x
  3. Step 3: Cross multiply
    183.42x = 251.64 × 172.98
  4. Step 4: Simplify right side
    183.42x = 43,528.69
  5. Step 5: Solve for x
    x = 43,528.69/183.42
  6. Step 6: Final answer
    x = 237.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.