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Finding the Fourth Proportional to 295.22, 442.63 and 185.26

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Solution

The fourth proportional to 295.22, 442.63 and 185.26 is: 277.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.22 : 442.63 = 185.26 : x
  2. Step 2: Convert to fraction form
    295.22/442.63 = 185.26/x
  3. Step 3: Cross multiply
    295.22x = 442.63 × 185.26
  4. Step 4: Simplify right side
    295.22x = 82,001.63
  5. Step 5: Solve for x
    x = 82,001.63/295.22
  6. Step 6: Final answer
    x = 277.76

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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.