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Finding the Fourth Proportional to 165.03, 246.12 and 145.86

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Solution

The fourth proportional to 165.03, 246.12 and 145.86 is: 217.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.03 : 246.12 = 145.86 : x
  2. Step 2: Convert to fraction form
    165.03/246.12 = 145.86/x
  3. Step 3: Cross multiply
    165.03x = 246.12 × 145.86
  4. Step 4: Simplify right side
    165.03x = 35,899.06
  5. Step 5: Solve for x
    x = 35,899.06/165.03
  6. Step 6: Final answer
    x = 217.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.