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Finding the Fourth Proportional to 165.64, 228.18 and 142.28

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Solution

The fourth proportional to 165.64, 228.18 and 142.28 is: 196.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.64 : 228.18 = 142.28 : x
  2. Step 2: Convert to fraction form
    165.64/228.18 = 142.28/x
  3. Step 3: Cross multiply
    165.64x = 228.18 × 142.28
  4. Step 4: Simplify right side
    165.64x = 32,465.45
  5. Step 5: Solve for x
    x = 32,465.45/165.64
  6. Step 6: Final answer
    x = 196.00

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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.