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Finding the Fourth Proportional to 165.30, 228.02 and 107.07

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Solution

The fourth proportional to 165.30, 228.02 and 107.07 is: 147.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.30 : 228.02 = 107.07 : x
  2. Step 2: Convert to fraction form
    165.30/228.02 = 107.07/x
  3. Step 3: Cross multiply
    165.30x = 228.02 × 107.07
  4. Step 4: Simplify right side
    165.30x = 24,413.23
  5. Step 5: Solve for x
    x = 24,413.23/165.30
  6. Step 6: Final answer
    x = 147.69

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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.