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Finding the Fourth Proportional to 387.81, 581.70 and 182.47

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Solution

The fourth proportional to 387.81, 581.70 and 182.47 is: 273.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.81 : 581.70 = 182.47 : x
  2. Step 2: Convert to fraction form
    387.81/581.70 = 182.47/x
  3. Step 3: Cross multiply
    387.81x = 581.70 × 182.47
  4. Step 4: Simplify right side
    387.81x = 106,142.80
  5. Step 5: Solve for x
    x = 106,142.80/387.81
  6. Step 6: Final answer
    x = 273.70

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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.