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Finding the Fourth Proportional to 316.35, 474.28 and 153.99

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Solution

The fourth proportional to 316.35, 474.28 and 153.99 is: 230.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.35 : 474.28 = 153.99 : x
  2. Step 2: Convert to fraction form
    316.35/474.28 = 153.99/x
  3. Step 3: Cross multiply
    316.35x = 474.28 × 153.99
  4. Step 4: Simplify right side
    316.35x = 73,033.99
  5. Step 5: Solve for x
    x = 73,033.99/316.35
  6. Step 6: Final answer
    x = 230.86

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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.