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Finding the Fourth Proportional to 183.30, 274.96 and 53.30

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Solution

The fourth proportional to 183.30, 274.96 and 53.30 is: 79.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.30 : 274.96 = 53.30 : x
  2. Step 2: Convert to fraction form
    183.30/274.96 = 53.30/x
  3. Step 3: Cross multiply
    183.30x = 274.96 × 53.30
  4. Step 4: Simplify right side
    183.30x = 14,655.35
  5. Step 5: Solve for x
    x = 14,655.35/183.30
  6. Step 6: Final answer
    x = 79.95

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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.