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Finding the Fourth Proportional to 165.32, 248.94 and 146.20

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Solution

The fourth proportional to 165.32, 248.94 and 146.20 is: 220.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.32 : 248.94 = 146.20 : x
  2. Step 2: Convert to fraction form
    165.32/248.94 = 146.20/x
  3. Step 3: Cross multiply
    165.32x = 248.94 × 146.20
  4. Step 4: Simplify right side
    165.32x = 36,395.03
  5. Step 5: Solve for x
    x = 36,395.03/165.32
  6. Step 6: Final answer
    x = 220.15

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.