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Finding the Fourth Proportional to 492.99, 739.51 and 184.83

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Solution

The fourth proportional to 492.99, 739.51 and 184.83 is: 277.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.99 : 739.51 = 184.83 : x
  2. Step 2: Convert to fraction form
    492.99/739.51 = 184.83/x
  3. Step 3: Cross multiply
    492.99x = 739.51 × 184.83
  4. Step 4: Simplify right side
    492.99x = 136,683.63
  5. Step 5: Solve for x
    x = 136,683.63/492.99
  6. Step 6: Final answer
    x = 277.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.