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Finding the Fourth Proportional to 191.14, 284.25 and 185.06

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Solution

The fourth proportional to 191.14, 284.25 and 185.06 is: 275.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.14 : 284.25 = 185.06 : x
  2. Step 2: Convert to fraction form
    191.14/284.25 = 185.06/x
  3. Step 3: Cross multiply
    191.14x = 284.25 × 185.06
  4. Step 4: Simplify right side
    191.14x = 52,603.31
  5. Step 5: Solve for x
    x = 52,603.31/191.14
  6. Step 6: Final answer
    x = 275.21

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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.