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Finding the Fourth Proportional to 183.24, 275.04 and 157.68

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Solution

The fourth proportional to 183.24, 275.04 and 157.68 is: 236.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.24 : 275.04 = 157.68 : x
  2. Step 2: Convert to fraction form
    183.24/275.04 = 157.68/x
  3. Step 3: Cross multiply
    183.24x = 275.04 × 157.68
  4. Step 4: Simplify right side
    183.24x = 43,368.31
  5. Step 5: Solve for x
    x = 43,368.31/183.24
  6. Step 6: Final answer
    x = 236.67

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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.