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Finding the Fourth Proportional to 295.58, 443.42 and 122.34

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Solution

The fourth proportional to 295.58, 443.42 and 122.34 is: 183.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.58 : 443.42 = 122.34 : x
  2. Step 2: Convert to fraction form
    295.58/443.42 = 122.34/x
  3. Step 3: Cross multiply
    295.58x = 443.42 × 122.34
  4. Step 4: Simplify right side
    295.58x = 54,248.00
  5. Step 5: Solve for x
    x = 54,248.00/295.58
  6. Step 6: Final answer
    x = 183.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.