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Finding the Fourth Proportional to 204.98, 307.08 and 118.35

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Solution

The fourth proportional to 204.98, 307.08 and 118.35 is: 177.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.98 : 307.08 = 118.35 : x
  2. Step 2: Convert to fraction form
    204.98/307.08 = 118.35/x
  3. Step 3: Cross multiply
    204.98x = 307.08 × 118.35
  4. Step 4: Simplify right side
    204.98x = 36,342.92
  5. Step 5: Solve for x
    x = 36,342.92/204.98
  6. Step 6: Final answer
    x = 177.30

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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.