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Finding the Fourth Proportional to 308.77, 426.10 and 175.97

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Solution

The fourth proportional to 308.77, 426.10 and 175.97 is: 242.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.77 : 426.10 = 175.97 : x
  2. Step 2: Convert to fraction form
    308.77/426.10 = 175.97/x
  3. Step 3: Cross multiply
    308.77x = 426.10 × 175.97
  4. Step 4: Simplify right side
    308.77x = 74,980.82
  5. Step 5: Solve for x
    x = 74,980.82/308.77
  6. Step 6: Final answer
    x = 242.84

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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.