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Finding the Fourth Proportional to 315.83, 473.81 and 142.41

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Solution

The fourth proportional to 315.83, 473.81 and 142.41 is: 213.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.83 : 473.81 = 142.41 : x
  2. Step 2: Convert to fraction form
    315.83/473.81 = 142.41/x
  3. Step 3: Cross multiply
    315.83x = 473.81 × 142.41
  4. Step 4: Simplify right side
    315.83x = 67,475.28
  5. Step 5: Solve for x
    x = 67,475.28/315.83
  6. Step 6: Final answer
    x = 213.64

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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.