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Finding the Fourth Proportional to 617.58, 926.16 and 206.82

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Solution

The fourth proportional to 617.58, 926.16 and 206.82 is: 310.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.58 : 926.16 = 206.82 : x
  2. Step 2: Convert to fraction form
    617.58/926.16 = 206.82/x
  3. Step 3: Cross multiply
    617.58x = 926.16 × 206.82
  4. Step 4: Simplify right side
    617.58x = 191,548.41
  5. Step 5: Solve for x
    x = 191,548.41/617.58
  6. Step 6: Final answer
    x = 310.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.