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Finding the Fourth Proportional to 467.53, 701.42 and 142.90

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Solution

The fourth proportional to 467.53, 701.42 and 142.90 is: 214.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.53 : 701.42 = 142.90 : x
  2. Step 2: Convert to fraction form
    467.53/701.42 = 142.90/x
  3. Step 3: Cross multiply
    467.53x = 701.42 × 142.90
  4. Step 4: Simplify right side
    467.53x = 100,232.20
  5. Step 5: Solve for x
    x = 100,232.20/467.53
  6. Step 6: Final answer
    x = 214.39

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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.