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Finding the Fourth Proportional to 295.25, 442.87 and 180.43

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Solution

The fourth proportional to 295.25, 442.87 and 180.43 is: 270.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.25 : 442.87 = 180.43 : x
  2. Step 2: Convert to fraction form
    295.25/442.87 = 180.43/x
  3. Step 3: Cross multiply
    295.25x = 442.87 × 180.43
  4. Step 4: Simplify right side
    295.25x = 79,905.48
  5. Step 5: Solve for x
    x = 79,905.48/295.25
  6. Step 6: Final answer
    x = 270.64

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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.