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Finding the Fourth Proportional to 308.10, 425.07 and 177.06

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Solution

The fourth proportional to 308.10, 425.07 and 177.06 is: 244.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.10 : 425.07 = 177.06 : x
  2. Step 2: Convert to fraction form
    308.10/425.07 = 177.06/x
  3. Step 3: Cross multiply
    308.10x = 425.07 × 177.06
  4. Step 4: Simplify right side
    308.10x = 75,262.89
  5. Step 5: Solve for x
    x = 75,262.89/308.10
  6. Step 6: Final answer
    x = 244.28

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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.