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Finding the Fourth Proportional to 191.36, 286.34 and 165.98

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Solution

The fourth proportional to 191.36, 286.34 and 165.98 is: 248.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.36 : 286.34 = 165.98 : x
  2. Step 2: Convert to fraction form
    191.36/286.34 = 165.98/x
  3. Step 3: Cross multiply
    191.36x = 286.34 × 165.98
  4. Step 4: Simplify right side
    191.36x = 47,526.71
  5. Step 5: Solve for x
    x = 47,526.71/191.36
  6. Step 6: Final answer
    x = 248.36

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Why These Related Problems?

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