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Finding the Fourth Proportional to 182.78, 252.50 and 145.89

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Solution

The fourth proportional to 182.78, 252.50 and 145.89 is: 201.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.78 : 252.50 = 145.89 : x
  2. Step 2: Convert to fraction form
    182.78/252.50 = 145.89/x
  3. Step 3: Cross multiply
    182.78x = 252.50 × 145.89
  4. Step 4: Simplify right side
    182.78x = 36,837.23
  5. Step 5: Solve for x
    x = 36,837.23/182.78
  6. Step 6: Final answer
    x = 201.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.