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Finding the Fourth Proportional to 308.50, 425.53 and 184.07

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Solution

The fourth proportional to 308.50, 425.53 and 184.07 is: 253.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.50 : 425.53 = 184.07 : x
  2. Step 2: Convert to fraction form
    308.50/425.53 = 184.07/x
  3. Step 3: Cross multiply
    308.50x = 425.53 × 184.07
  4. Step 4: Simplify right side
    308.50x = 78,327.31
  5. Step 5: Solve for x
    x = 78,327.31/308.50
  6. Step 6: Final answer
    x = 253.90

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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.