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Finding the Fourth Proportional to 316.29, 474.43 and 143.02

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Solution

The fourth proportional to 316.29, 474.43 and 143.02 is: 214.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.29 : 474.43 = 143.02 : x
  2. Step 2: Convert to fraction form
    316.29/474.43 = 143.02/x
  3. Step 3: Cross multiply
    316.29x = 474.43 × 143.02
  4. Step 4: Simplify right side
    316.29x = 67,850.96
  5. Step 5: Solve for x
    x = 67,850.96/316.29
  6. Step 6: Final answer
    x = 214.52

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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.