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Finding the Fourth Proportional to 315.69, 473.46 and 142.26

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Solution

The fourth proportional to 315.69, 473.46 and 142.26 is: 213.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.69 : 473.46 = 142.26 : x
  2. Step 2: Convert to fraction form
    315.69/473.46 = 142.26/x
  3. Step 3: Cross multiply
    315.69x = 473.46 × 142.26
  4. Step 4: Simplify right side
    315.69x = 67,354.42
  5. Step 5: Solve for x
    x = 67,354.42/315.69
  6. Step 6: Final answer
    x = 213.36

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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.