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Finding the Fourth Proportional to 191.04, 286.08 and 189.68

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Solution

The fourth proportional to 191.04, 286.08 and 189.68 is: 284.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.04 : 286.08 = 189.68 : x
  2. Step 2: Convert to fraction form
    191.04/286.08 = 189.68/x
  3. Step 3: Cross multiply
    191.04x = 286.08 × 189.68
  4. Step 4: Simplify right side
    191.04x = 54,262.22
  5. Step 5: Solve for x
    x = 54,262.22/191.04
  6. Step 6: Final answer
    x = 284.04

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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.