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Finding the Fourth Proportional to 316.73, 474.95 and 134.03

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Solution

The fourth proportional to 316.73, 474.95 and 134.03 is: 200.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.73 : 474.95 = 134.03 : x
  2. Step 2: Convert to fraction form
    316.73/474.95 = 134.03/x
  3. Step 3: Cross multiply
    316.73x = 474.95 × 134.03
  4. Step 4: Simplify right side
    316.73x = 63,654.50
  5. Step 5: Solve for x
    x = 63,654.50/316.73
  6. Step 6: Final answer
    x = 200.98

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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.