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Finding the Fourth Proportional to 337.50, 505.19 and 183.02

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Solution

The fourth proportional to 337.50, 505.19 and 183.02 is: 273.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.50 : 505.19 = 183.02 : x
  2. Step 2: Convert to fraction form
    337.50/505.19 = 183.02/x
  3. Step 3: Cross multiply
    337.50x = 505.19 × 183.02
  4. Step 4: Simplify right side
    337.50x = 92,457.81
  5. Step 5: Solve for x
    x = 92,457.81/337.50
  6. Step 6: Final answer
    x = 273.95

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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.