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Finding the Fourth Proportional to 165.93, 249 and 74.67

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Solution

The fourth proportional to 165.93, 249 and 74.67 is: 112.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.93 : 249 = 74.67 : x
  2. Step 2: Convert to fraction form
    165.93/249 = 74.67/x
  3. Step 3: Cross multiply
    165.93x = 249 × 74.67
  4. Step 4: Simplify right side
    165.93x = 18,592.83
  5. Step 5: Solve for x
    x = 18,592.83/165.93
  6. Step 6: Final answer
    x = 112.05

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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.