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Finding the Fourth Proportional to 467.17, 700.65 and 193.19

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Solution

The fourth proportional to 467.17, 700.65 and 193.19 is: 289.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.17 : 700.65 = 193.19 : x
  2. Step 2: Convert to fraction form
    467.17/700.65 = 193.19/x
  3. Step 3: Cross multiply
    467.17x = 700.65 × 193.19
  4. Step 4: Simplify right side
    467.17x = 135,355.07
  5. Step 5: Solve for x
    x = 135,355.07/467.17
  6. Step 6: Final answer
    x = 289.74

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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.