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Finding the Fourth Proportional to 183.14, 252.55 and 157.00

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Solution

The fourth proportional to 183.14, 252.55 and 157.00 is: 216.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.14 : 252.55 = 157.00 : x
  2. Step 2: Convert to fraction form
    183.14/252.55 = 157.00/x
  3. Step 3: Cross multiply
    183.14x = 252.55 × 157.00
  4. Step 4: Simplify right side
    183.14x = 39,649.33
  5. Step 5: Solve for x
    x = 39,649.33/183.14
  6. Step 6: Final answer
    x = 216.50

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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.