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Finding the Fourth Proportional to 467.10, 700.56 and 193.20

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Solution

The fourth proportional to 467.10, 700.56 and 193.20 is: 289.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.10 : 700.56 = 193.20 : x
  2. Step 2: Convert to fraction form
    467.10/700.56 = 193.20/x
  3. Step 3: Cross multiply
    467.10x = 700.56 × 193.20
  4. Step 4: Simplify right side
    467.10x = 135,348.19
  5. Step 5: Solve for x
    x = 135,348.19/467.10
  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.