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Finding the Fourth Proportional to 178.54, 245.80 and 166.12

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Solution

The fourth proportional to 178.54, 245.80 and 166.12 is: 228.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.54 : 245.80 = 166.12 : x
  2. Step 2: Convert to fraction form
    178.54/245.80 = 166.12/x
  3. Step 3: Cross multiply
    178.54x = 245.80 × 166.12
  4. Step 4: Simplify right side
    178.54x = 40,831.89
  5. Step 5: Solve for x
    x = 40,831.89/178.54
  6. Step 6: Final answer
    x = 228.70

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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.