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Finding the Fourth Proportional to 184.20, 274.98 and 177.79

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Solution

The fourth proportional to 184.20, 274.98 and 177.79 is: 265.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.20 : 274.98 = 177.79 : x
  2. Step 2: Convert to fraction form
    184.20/274.98 = 177.79/x
  3. Step 3: Cross multiply
    184.20x = 274.98 × 177.79
  4. Step 4: Simplify right side
    184.20x = 48,888.69
  5. Step 5: Solve for x
    x = 48,888.69/184.20
  6. Step 6: Final answer
    x = 265.41

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