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Finding the Fourth Proportional to 231.65, 347.54 and 77.60

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Solution

The fourth proportional to 231.65, 347.54 and 77.60 is: 116.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.65 : 347.54 = 77.60 : x
  2. Step 2: Convert to fraction form
    231.65/347.54 = 77.60/x
  3. Step 3: Cross multiply
    231.65x = 347.54 × 77.60
  4. Step 4: Simplify right side
    231.65x = 26,969.10
  5. Step 5: Solve for x
    x = 26,969.10/231.65
  6. Step 6: Final answer
    x = 116.42

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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.