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Finding the Fourth Proportional to 442.18, 662.91 and 185.50

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Solution

The fourth proportional to 442.18, 662.91 and 185.50 is: 278.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.18 : 662.91 = 185.50 : x
  2. Step 2: Convert to fraction form
    442.18/662.91 = 185.50/x
  3. Step 3: Cross multiply
    442.18x = 662.91 × 185.50
  4. Step 4: Simplify right side
    442.18x = 122,969.81
  5. Step 5: Solve for x
    x = 122,969.81/442.18
  6. Step 6: Final answer
    x = 278.10

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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.