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Finding the Fourth Proportional to 166.08, 228.65 and 128.64

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Solution

The fourth proportional to 166.08, 228.65 and 128.64 is: 177.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.08 : 228.65 = 128.64 : x
  2. Step 2: Convert to fraction form
    166.08/228.65 = 128.64/x
  3. Step 3: Cross multiply
    166.08x = 228.65 × 128.64
  4. Step 4: Simplify right side
    166.08x = 29,413.54
  5. Step 5: Solve for x
    x = 29,413.54/166.08
  6. Step 6: Final answer
    x = 177.10

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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.