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Finding the Fourth Proportional to 467.05, 700.58 and 142.42

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Solution

The fourth proportional to 467.05, 700.58 and 142.42 is: 213.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.05 : 700.58 = 142.42 : x
  2. Step 2: Convert to fraction form
    467.05/700.58 = 142.42/x
  3. Step 3: Cross multiply
    467.05x = 700.58 × 142.42
  4. Step 4: Simplify right side
    467.05x = 99,775.89
  5. Step 5: Solve for x
    x = 99,775.89/467.05
  6. Step 6: Final answer
    x = 213.63

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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.