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Finding the Fourth Proportional to 191.50, 263.71 and 161.93

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Solution

The fourth proportional to 191.50, 263.71 and 161.93 is: 222.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.50 : 263.71 = 161.93 : x
  2. Step 2: Convert to fraction form
    191.50/263.71 = 161.93/x
  3. Step 3: Cross multiply
    191.50x = 263.71 × 161.93
  4. Step 4: Simplify right side
    191.50x = 42,702.51
  5. Step 5: Solve for x
    x = 42,702.51/191.50
  6. Step 6: Final answer
    x = 222.99

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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.