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Finding the Fourth Proportional to 191.84, 264.84 and 162.68

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Solution

The fourth proportional to 191.84, 264.84 and 162.68 is: 224.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.84 : 264.84 = 162.68 : x
  2. Step 2: Convert to fraction form
    191.84/264.84 = 162.68/x
  3. Step 3: Cross multiply
    191.84x = 264.84 × 162.68
  4. Step 4: Simplify right side
    191.84x = 43,084.17
  5. Step 5: Solve for x
    x = 43,084.17/191.84
  6. Step 6: Final answer
    x = 224.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.