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Finding the Fourth Proportional to 295.90, 443.85 and 90.45

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Solution

The fourth proportional to 295.90, 443.85 and 90.45 is: 135.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.90 : 443.85 = 90.45 : x
  2. Step 2: Convert to fraction form
    295.90/443.85 = 90.45/x
  3. Step 3: Cross multiply
    295.90x = 443.85 × 90.45
  4. Step 4: Simplify right side
    295.90x = 40,146.23
  5. Step 5: Solve for x
    x = 40,146.23/295.90
  6. Step 6: Final answer
    x = 135.68

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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.