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Finding the Fourth Proportional to 183.30, 274.54 and 142.40

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Solution

The fourth proportional to 183.30, 274.54 and 142.40 is: 213.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.30 : 274.54 = 142.40 : x
  2. Step 2: Convert to fraction form
    183.30/274.54 = 142.40/x
  3. Step 3: Cross multiply
    183.30x = 274.54 × 142.40
  4. Step 4: Simplify right side
    183.30x = 39,094.50
  5. Step 5: Solve for x
    x = 39,094.50/183.30
  6. Step 6: Final answer
    x = 213.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.