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Finding the Fourth Proportional to 208.61, 287.92 and 124.64

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Solution

The fourth proportional to 208.61, 287.92 and 124.64 is: 172.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.61 : 287.92 = 124.64 : x
  2. Step 2: Convert to fraction form
    208.61/287.92 = 124.64/x
  3. Step 3: Cross multiply
    208.61x = 287.92 × 124.64
  4. Step 4: Simplify right side
    208.61x = 35,886.14
  5. Step 5: Solve for x
    x = 35,886.14/208.61
  6. Step 6: Final answer
    x = 172.03

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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.