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Finding the Fourth Proportional to 263.02, 395.25 and 160.36

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Solution

The fourth proportional to 263.02, 395.25 and 160.36 is: 240.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.02 : 395.25 = 160.36 : x
  2. Step 2: Convert to fraction form
    263.02/395.25 = 160.36/x
  3. Step 3: Cross multiply
    263.02x = 395.25 × 160.36
  4. Step 4: Simplify right side
    263.02x = 63,382.29
  5. Step 5: Solve for x
    x = 63,382.29/263.02
  6. Step 6: Final answer
    x = 240.98

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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.