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Finding the Fourth Proportional to 308.57, 425.93 and 177.62

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Solution

The fourth proportional to 308.57, 425.93 and 177.62 is: 245.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.57 : 425.93 = 177.62 : x
  2. Step 2: Convert to fraction form
    308.57/425.93 = 177.62/x
  3. Step 3: Cross multiply
    308.57x = 425.93 × 177.62
  4. Step 4: Simplify right side
    308.57x = 75,650.67
  5. Step 5: Solve for x
    x = 75,650.67/308.57
  6. Step 6: Final answer
    x = 245.17

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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.