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Finding the Fourth Proportional to 332.06, 458.14 and 184.67

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Solution

The fourth proportional to 332.06, 458.14 and 184.67 is: 254.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.06 : 458.14 = 184.67 : x
  2. Step 2: Convert to fraction form
    332.06/458.14 = 184.67/x
  3. Step 3: Cross multiply
    332.06x = 458.14 × 184.67
  4. Step 4: Simplify right side
    332.06x = 84,601.50
  5. Step 5: Solve for x
    x = 84,601.50/332.06
  6. Step 6: Final answer
    x = 254.78

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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.