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Finding the Fourth Proportional to 263.51, 395.68 and 142.01

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Solution

The fourth proportional to 263.51, 395.68 and 142.01 is: 213.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.51 : 395.68 = 142.01 : x
  2. Step 2: Convert to fraction form
    263.51/395.68 = 142.01/x
  3. Step 3: Cross multiply
    263.51x = 395.68 × 142.01
  4. Step 4: Simplify right side
    263.51x = 56,191.15
  5. Step 5: Solve for x
    x = 56,191.15/263.51
  6. Step 6: Final answer
    x = 213.24

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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.