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Finding the Fourth Proportional to 466.69, 700.09 and 192.74

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Solution

The fourth proportional to 466.69, 700.09 and 192.74 is: 289.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.69 : 700.09 = 192.74 : x
  2. Step 2: Convert to fraction form
    466.69/700.09 = 192.74/x
  3. Step 3: Cross multiply
    466.69x = 700.09 × 192.74
  4. Step 4: Simplify right side
    466.69x = 134,936.61
  5. Step 5: Solve for x
    x = 134,936.61/466.69
  6. Step 6: Final answer
    x = 289.14

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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.