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Finding the Fourth Proportional to 287.74, 397.04 and 177.22

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Solution

The fourth proportional to 287.74, 397.04 and 177.22 is: 244.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.74 : 397.04 = 177.22 : x
  2. Step 2: Convert to fraction form
    287.74/397.04 = 177.22/x
  3. Step 3: Cross multiply
    287.74x = 397.04 × 177.22
  4. Step 4: Simplify right side
    287.74x = 70,363.43
  5. Step 5: Solve for x
    x = 70,363.43/287.74
  6. Step 6: Final answer
    x = 244.54

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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.