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Finding the Fourth Proportional to 316.27, 474.34 and 142.94

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Solution

The fourth proportional to 316.27, 474.34 and 142.94 is: 214.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.27 : 474.34 = 142.94 : x
  2. Step 2: Convert to fraction form
    316.27/474.34 = 142.94/x
  3. Step 3: Cross multiply
    316.27x = 474.34 × 142.94
  4. Step 4: Simplify right side
    316.27x = 67,802.16
  5. Step 5: Solve for x
    x = 67,802.16/316.27
  6. Step 6: Final answer
    x = 214.38

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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.