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Finding the Fourth Proportional to 308.34, 425.49 and 184.01

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Solution

The fourth proportional to 308.34, 425.49 and 184.01 is: 253.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.34 : 425.49 = 184.01 : x
  2. Step 2: Convert to fraction form
    308.34/425.49 = 184.01/x
  3. Step 3: Cross multiply
    308.34x = 425.49 × 184.01
  4. Step 4: Simplify right side
    308.34x = 78,294.41
  5. Step 5: Solve for x
    x = 78,294.41/308.34
  6. Step 6: Final answer
    x = 253.92

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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.