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Finding the Fourth Proportional to 295.38, 442.80 and 102.88

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Solution

The fourth proportional to 295.38, 442.80 and 102.88 is: 154.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.38 : 442.80 = 102.88 : x
  2. Step 2: Convert to fraction form
    295.38/442.80 = 102.88/x
  3. Step 3: Cross multiply
    295.38x = 442.80 × 102.88
  4. Step 4: Simplify right side
    295.38x = 45,555.26
  5. Step 5: Solve for x
    x = 45,555.26/295.38
  6. Step 6: Final answer
    x = 154.23

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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.