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Finding the Fourth Proportional to 183.50, 252.88 and 117.90

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Solution

The fourth proportional to 183.50, 252.88 and 117.90 is: 162.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.50 : 252.88 = 117.90 : x
  2. Step 2: Convert to fraction form
    183.50/252.88 = 117.90/x
  3. Step 3: Cross multiply
    183.50x = 252.88 × 117.90
  4. Step 4: Simplify right side
    183.50x = 29,814.55
  5. Step 5: Solve for x
    x = 29,814.55/183.50
  6. Step 6: Final answer
    x = 162.48

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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.