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Finding the Fourth Proportional to 165.40, 228.08 and 142.17

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Solution

The fourth proportional to 165.40, 228.08 and 142.17 is: 196.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.40 : 228.08 = 142.17 : x
  2. Step 2: Convert to fraction form
    165.40/228.08 = 142.17/x
  3. Step 3: Cross multiply
    165.40x = 228.08 × 142.17
  4. Step 4: Simplify right side
    165.40x = 32,424.28
  5. Step 5: Solve for x
    x = 32,424.28/165.40
  6. Step 6: Final answer
    x = 196.04

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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.