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Finding the Fourth Proportional to 165.19, 248.71 and 146.04

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Solution

The fourth proportional to 165.19, 248.71 and 146.04 is: 219.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.19 : 248.71 = 146.04 : x
  2. Step 2: Convert to fraction form
    165.19/248.71 = 146.04/x
  3. Step 3: Cross multiply
    165.19x = 248.71 × 146.04
  4. Step 4: Simplify right side
    165.19x = 36,320.88
  5. Step 5: Solve for x
    x = 36,320.88/165.19
  6. Step 6: Final answer
    x = 219.87

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Why These Related Problems?

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