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Finding the Fourth Proportional to 467.36, 700.74 and 142.64

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Solution

The fourth proportional to 467.36, 700.74 and 142.64 is: 213.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.36 : 700.74 = 142.64 : x
  2. Step 2: Convert to fraction form
    467.36/700.74 = 142.64/x
  3. Step 3: Cross multiply
    467.36x = 700.74 × 142.64
  4. Step 4: Simplify right side
    467.36x = 99,953.55
  5. Step 5: Solve for x
    x = 99,953.55/467.36
  6. Step 6: Final answer
    x = 213.87

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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.