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Finding the Fourth Proportional to 166.08, 228.48 and 127.20

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Solution

The fourth proportional to 166.08, 228.48 and 127.20 is: 174.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.08 : 228.48 = 127.20 : x
  2. Step 2: Convert to fraction form
    166.08/228.48 = 127.20/x
  3. Step 3: Cross multiply
    166.08x = 228.48 × 127.20
  4. Step 4: Simplify right side
    166.08x = 29,062.66
  5. Step 5: Solve for x
    x = 29,062.66/166.08
  6. Step 6: Final answer
    x = 174.99

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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.