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Finding the Fourth Proportional to 316.30, 474.08 and 143.05

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Solution

The fourth proportional to 316.30, 474.08 and 143.05 is: 214.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.30 : 474.08 = 143.05 : x
  2. Step 2: Convert to fraction form
    316.30/474.08 = 143.05/x
  3. Step 3: Cross multiply
    316.30x = 474.08 × 143.05
  4. Step 4: Simplify right side
    316.30x = 67,816.43
  5. Step 5: Solve for x
    x = 67,816.43/316.30
  6. Step 6: Final answer
    x = 214.41

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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.