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Finding the Fourth Proportional to 191.06, 286.45 and 154.54

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Solution

The fourth proportional to 191.06, 286.45 and 154.54 is: 231.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.06 : 286.45 = 154.54 : x
  2. Step 2: Convert to fraction form
    191.06/286.45 = 154.54/x
  3. Step 3: Cross multiply
    191.06x = 286.45 × 154.54
  4. Step 4: Simplify right side
    191.06x = 44,268.53
  5. Step 5: Solve for x
    x = 44,268.53/191.06
  6. Step 6: Final answer
    x = 231.70

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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.