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Finding the Fourth Proportional to 295.92, 443.80 and 103.52

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Solution

The fourth proportional to 295.92, 443.80 and 103.52 is: 155.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.92 : 443.80 = 103.52 : x
  2. Step 2: Convert to fraction form
    295.92/443.80 = 103.52/x
  3. Step 3: Cross multiply
    295.92x = 443.80 × 103.52
  4. Step 4: Simplify right side
    295.92x = 45,942.18
  5. Step 5: Solve for x
    x = 45,942.18/295.92
  6. Step 6: Final answer
    x = 155.25

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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.