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Finding the Fourth Proportional to 183.96, 253.93 and 114.07

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Solution

The fourth proportional to 183.96, 253.93 and 114.07 is: 157.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.96 : 253.93 = 114.07 : x
  2. Step 2: Convert to fraction form
    183.96/253.93 = 114.07/x
  3. Step 3: Cross multiply
    183.96x = 253.93 × 114.07
  4. Step 4: Simplify right side
    183.96x = 28,965.80
  5. Step 5: Solve for x
    x = 28,965.80/183.96
  6. Step 6: Final answer
    x = 157.46

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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.