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Finding the Fourth Proportional to 316.36, 474.54 and 200.98

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Solution

The fourth proportional to 316.36, 474.54 and 200.98 is: 301.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.36 : 474.54 = 200.98 : x
  2. Step 2: Convert to fraction form
    316.36/474.54 = 200.98/x
  3. Step 3: Cross multiply
    316.36x = 474.54 × 200.98
  4. Step 4: Simplify right side
    316.36x = 95,373.05
  5. Step 5: Solve for x
    x = 95,373.05/316.36
  6. Step 6: Final answer
    x = 301.47

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