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Finding the Fourth Proportional to 339.32, 468.17 and 208.10

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Solution

The fourth proportional to 339.32, 468.17 and 208.10 is: 287.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.32 : 468.17 = 208.10 : x
  2. Step 2: Convert to fraction form
    339.32/468.17 = 208.10/x
  3. Step 3: Cross multiply
    339.32x = 468.17 × 208.10
  4. Step 4: Simplify right side
    339.32x = 97,426.18
  5. Step 5: Solve for x
    x = 97,426.18/339.32
  6. Step 6: Final answer
    x = 287.12

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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.