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Finding the Fourth Proportional to 191.14, 285.16 and 162.46

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Solution

The fourth proportional to 191.14, 285.16 and 162.46 is: 242.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.14 : 285.16 = 162.46 : x
  2. Step 2: Convert to fraction form
    191.14/285.16 = 162.46/x
  3. Step 3: Cross multiply
    191.14x = 285.16 × 162.46
  4. Step 4: Simplify right side
    191.14x = 46,327.09
  5. Step 5: Solve for x
    x = 46,327.09/191.14
  6. Step 6: Final answer
    x = 242.37

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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.