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Finding the Fourth Proportional to 184.37, 275.23 and 177.96

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Solution

The fourth proportional to 184.37, 275.23 and 177.96 is: 265.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.37 : 275.23 = 177.96 : x
  2. Step 2: Convert to fraction form
    184.37/275.23 = 177.96/x
  3. Step 3: Cross multiply
    184.37x = 275.23 × 177.96
  4. Step 4: Simplify right side
    184.37x = 48,981.06
  5. Step 5: Solve for x
    x = 48,981.06/184.37
  6. Step 6: Final answer
    x = 265.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.