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Finding the Fourth Proportional to 295.38, 442.49 and 138.99

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Solution

The fourth proportional to 295.38, 442.49 and 138.99 is: 208.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.38 : 442.49 = 138.99 : x
  2. Step 2: Convert to fraction form
    295.38/442.49 = 138.99/x
  3. Step 3: Cross multiply
    295.38x = 442.49 × 138.99
  4. Step 4: Simplify right side
    295.38x = 61,503.17
  5. Step 5: Solve for x
    x = 61,503.17/295.38
  6. Step 6: Final answer
    x = 208.21

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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.