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Finding the Fourth Proportional to 287.49, 396.81 and 177.06

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Solution

The fourth proportional to 287.49, 396.81 and 177.06 is: 244.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.49 : 396.81 = 177.06 : x
  2. Step 2: Convert to fraction form
    287.49/396.81 = 177.06/x
  3. Step 3: Cross multiply
    287.49x = 396.81 × 177.06
  4. Step 4: Simplify right side
    287.49x = 70,258.13
  5. Step 5: Solve for x
    x = 70,258.13/287.49
  6. Step 6: Final answer
    x = 244.39

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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.