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Finding the Fourth Proportional to 287.71, 397.06 and 177.15

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Solution

The fourth proportional to 287.71, 397.06 and 177.15 is: 244.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.71 : 397.06 = 177.15 : x
  2. Step 2: Convert to fraction form
    287.71/397.06 = 177.15/x
  3. Step 3: Cross multiply
    287.71x = 397.06 × 177.15
  4. Step 4: Simplify right side
    287.71x = 70,339.18
  5. Step 5: Solve for x
    x = 70,339.18/287.71
  6. Step 6: Final answer
    x = 244.48

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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.