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Finding the Fourth Proportional to 183.52, 275.04 and 157.84

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Solution

The fourth proportional to 183.52, 275.04 and 157.84 is: 236.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.52 : 275.04 = 157.84 : x
  2. Step 2: Convert to fraction form
    183.52/275.04 = 157.84/x
  3. Step 3: Cross multiply
    183.52x = 275.04 × 157.84
  4. Step 4: Simplify right side
    183.52x = 43,412.31
  5. Step 5: Solve for x
    x = 43,412.31/183.52
  6. Step 6: Final answer
    x = 236.55

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