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Finding the Fourth Proportional to 191.95, 288.45 and 114.92

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Solution

The fourth proportional to 191.95, 288.45 and 114.92 is: 172.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.95 : 288.45 = 114.92 : x
  2. Step 2: Convert to fraction form
    191.95/288.45 = 114.92/x
  3. Step 3: Cross multiply
    191.95x = 288.45 × 114.92
  4. Step 4: Simplify right side
    191.95x = 33,148.67
  5. Step 5: Solve for x
    x = 33,148.67/191.95
  6. Step 6: Final answer
    x = 172.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.