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Finding the Fourth Proportional to 295.51, 443.31 and 165.55

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Solution

The fourth proportional to 295.51, 443.31 and 165.55 is: 248.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.51 : 443.31 = 165.55 : x
  2. Step 2: Convert to fraction form
    295.51/443.31 = 165.55/x
  3. Step 3: Cross multiply
    295.51x = 443.31 × 165.55
  4. Step 4: Simplify right side
    295.51x = 73,389.97
  5. Step 5: Solve for x
    x = 73,389.97/295.51
  6. Step 6: Final answer
    x = 248.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.