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Finding the Fourth Proportional to 308.04, 425.22 and 183.80

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Solution

The fourth proportional to 308.04, 425.22 and 183.80 is: 253.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.04 : 425.22 = 183.80 : x
  2. Step 2: Convert to fraction form
    308.04/425.22 = 183.80/x
  3. Step 3: Cross multiply
    308.04x = 425.22 × 183.80
  4. Step 4: Simplify right side
    308.04x = 78,155.81
  5. Step 5: Solve for x
    x = 78,155.81/308.04
  6. Step 6: Final answer
    x = 253.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.