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Finding the Fourth Proportional to 231.98, 347.57 and 183.04

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Solution

The fourth proportional to 231.98, 347.57 and 183.04 is: 274.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.98 : 347.57 = 183.04 : x
  2. Step 2: Convert to fraction form
    231.98/347.57 = 183.04/x
  3. Step 3: Cross multiply
    231.98x = 347.57 × 183.04
  4. Step 4: Simplify right side
    231.98x = 63,618.12
  5. Step 5: Solve for x
    x = 63,618.12/231.98
  6. Step 6: Final answer
    x = 274.25

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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.