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Finding the Fourth Proportional to 191, 263.62 and 117.32

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Solution

The fourth proportional to 191, 263.62 and 117.32 is: 161.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    191 : 263.62 = 117.32 : x
  2. Step 2: Convert to fraction form
    191/263.62 = 117.32/x
  3. Step 3: Cross multiply
    191x = 263.62 × 117.32
  4. Step 4: Simplify right side
    191x = 30,927.90
  5. Step 5: Solve for x
    x = 30,927.90/191
  6. Step 6: Final answer
    x = 161.93

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Why These Related Problems?

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