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Finding the Fourth Proportional to 191.04, 285.09 and 163.60

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Solution

The fourth proportional to 191.04, 285.09 and 163.60 is: 244.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.04 : 285.09 = 163.60 : x
  2. Step 2: Convert to fraction form
    191.04/285.09 = 163.60/x
  3. Step 3: Cross multiply
    191.04x = 285.09 × 163.60
  4. Step 4: Simplify right side
    191.04x = 46,641.00
  5. Step 5: Solve for x
    x = 46,641.00/191.04
  6. Step 6: Final answer
    x = 244.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.