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Finding the Fourth Proportional to 165.42, 227.98 and 146.32

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Solution

The fourth proportional to 165.42, 227.98 and 146.32 is: 201.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.42 : 227.98 = 146.32 : x
  2. Step 2: Convert to fraction form
    165.42/227.98 = 146.32/x
  3. Step 3: Cross multiply
    165.42x = 227.98 × 146.32
  4. Step 4: Simplify right side
    165.42x = 33,359.13
  5. Step 5: Solve for x
    x = 33,359.13/165.42
  6. Step 6: Final answer
    x = 201.67

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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.