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Finding the Fourth Proportional to 316.04, 473.66 and 142.46

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Solution

The fourth proportional to 316.04, 473.66 and 142.46 is: 213.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.04 : 473.66 = 142.46 : x
  2. Step 2: Convert to fraction form
    316.04/473.66 = 142.46/x
  3. Step 3: Cross multiply
    316.04x = 473.66 × 142.46
  4. Step 4: Simplify right side
    316.04x = 67,474.52
  5. Step 5: Solve for x
    x = 67,474.52/316.04
  6. Step 6: Final answer
    x = 213.50

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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.