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Finding the Fourth Proportional to 295.78, 443.28 and 165.78

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Solution

The fourth proportional to 295.78, 443.28 and 165.78 is: 248.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.78 : 443.28 = 165.78 : x
  2. Step 2: Convert to fraction form
    295.78/443.28 = 165.78/x
  3. Step 3: Cross multiply
    295.78x = 443.28 × 165.78
  4. Step 4: Simplify right side
    295.78x = 73,486.96
  5. Step 5: Solve for x
    x = 73,486.96/295.78
  6. Step 6: Final answer
    x = 248.45

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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.