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Finding the Fourth Proportional to 191.54, 285.30 and 189.02

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Solution

The fourth proportional to 191.54, 285.30 and 189.02 is: 281.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.54 : 285.30 = 189.02 : x
  2. Step 2: Convert to fraction form
    191.54/285.30 = 189.02/x
  3. Step 3: Cross multiply
    191.54x = 285.30 × 189.02
  4. Step 4: Simplify right side
    191.54x = 53,927.41
  5. Step 5: Solve for x
    x = 53,927.41/191.54
  6. Step 6: Final answer
    x = 281.55

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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.