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Finding the Fourth Proportional to 191.51, 286.66 and 125.98

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Solution

The fourth proportional to 191.51, 286.66 and 125.98 is: 188.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.51 : 286.66 = 125.98 : x
  2. Step 2: Convert to fraction form
    191.51/286.66 = 125.98/x
  3. Step 3: Cross multiply
    191.51x = 286.66 × 125.98
  4. Step 4: Simplify right side
    191.51x = 36,113.43
  5. Step 5: Solve for x
    x = 36,113.43/191.51
  6. Step 6: Final answer
    x = 188.57

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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.