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Finding the Fourth Proportional to 467.06, 700.45 and 142.31

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Solution

The fourth proportional to 467.06, 700.45 and 142.31 is: 213.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.06 : 700.45 = 142.31 : x
  2. Step 2: Convert to fraction form
    467.06/700.45 = 142.31/x
  3. Step 3: Cross multiply
    467.06x = 700.45 × 142.31
  4. Step 4: Simplify right side
    467.06x = 99,682.43
  5. Step 5: Solve for x
    x = 99,682.43/467.06
  6. Step 6: Final answer
    x = 213.43

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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.