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Finding the Fourth Proportional to 191.94, 289.04 and 172.91

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Solution

The fourth proportional to 191.94, 289.04 and 172.91 is: 260.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.94 : 289.04 = 172.91 : x
  2. Step 2: Convert to fraction form
    191.94/289.04 = 172.91/x
  3. Step 3: Cross multiply
    191.94x = 289.04 × 172.91
  4. Step 4: Simplify right side
    191.94x = 49,975.60
  5. Step 5: Solve for x
    x = 49,975.60/191.94
  6. Step 6: Final answer
    x = 260.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.