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Finding the Fourth Proportional to 165.57, 228.02 and 147.03

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Solution

The fourth proportional to 165.57, 228.02 and 147.03 is: 202.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.57 : 228.02 = 147.03 : x
  2. Step 2: Convert to fraction form
    165.57/228.02 = 147.03/x
  3. Step 3: Cross multiply
    165.57x = 228.02 × 147.03
  4. Step 4: Simplify right side
    165.57x = 33,525.05
  5. Step 5: Solve for x
    x = 33,525.05/165.57
  6. Step 6: Final answer
    x = 202.48

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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.