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Finding the Fourth Proportional to 295.21, 442.57 and 121.96

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Solution

The fourth proportional to 295.21, 442.57 and 121.96 is: 182.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.21 : 442.57 = 121.96 : x
  2. Step 2: Convert to fraction form
    295.21/442.57 = 121.96/x
  3. Step 3: Cross multiply
    295.21x = 442.57 × 121.96
  4. Step 4: Simplify right side
    295.21x = 53,975.84
  5. Step 5: Solve for x
    x = 53,975.84/295.21
  6. Step 6: Final answer
    x = 182.84

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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.