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Finding the Fourth Proportional to 245.75, 368.60 and 72.42

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Solution

The fourth proportional to 245.75, 368.60 and 72.42 is: 108.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.75 : 368.60 = 72.42 : x
  2. Step 2: Convert to fraction form
    245.75/368.60 = 72.42/x
  3. Step 3: Cross multiply
    245.75x = 368.60 × 72.42
  4. Step 4: Simplify right side
    245.75x = 26,694.01
  5. Step 5: Solve for x
    x = 26,694.01/245.75
  6. Step 6: Final answer
    x = 108.62

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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.