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Finding the Fourth Proportional to 308.01, 425.06 and 177.06

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Solution

The fourth proportional to 308.01, 425.06 and 177.06 is: 244.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.01 : 425.06 = 177.06 : x
  2. Step 2: Convert to fraction form
    308.01/425.06 = 177.06/x
  3. Step 3: Cross multiply
    308.01x = 425.06 × 177.06
  4. Step 4: Simplify right side
    308.01x = 75,261.12
  5. Step 5: Solve for x
    x = 75,261.12/308.01
  6. Step 6: Final answer
    x = 244.35

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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.