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Finding the Fourth Proportional to 467.23, 700.90 and 193.16

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Solution

The fourth proportional to 467.23, 700.90 and 193.16 is: 289.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.23 : 700.90 = 193.16 : x
  2. Step 2: Convert to fraction form
    467.23/700.90 = 193.16/x
  3. Step 3: Cross multiply
    467.23x = 700.90 × 193.16
  4. Step 4: Simplify right side
    467.23x = 135,384.88
  5. Step 5: Solve for x
    x = 135,384.88/467.23
  6. Step 6: Final answer
    x = 289.76

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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.