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Finding the Fourth Proportional to 287.66, 396.98 and 177.07

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Solution

The fourth proportional to 287.66, 396.98 and 177.07 is: 244.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.66 : 396.98 = 177.07 : x
  2. Step 2: Convert to fraction form
    287.66/396.98 = 177.07/x
  3. Step 3: Cross multiply
    287.66x = 396.98 × 177.07
  4. Step 4: Simplify right side
    287.66x = 70,293.25
  5. Step 5: Solve for x
    x = 70,293.25/287.66
  6. Step 6: Final answer
    x = 244.36

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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.