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Finding the Fourth Proportional to 315.63, 473.27 and 142.14

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Solution

The fourth proportional to 315.63, 473.27 and 142.14 is: 213.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.63 : 473.27 = 142.14 : x
  2. Step 2: Convert to fraction form
    315.63/473.27 = 142.14/x
  3. Step 3: Cross multiply
    315.63x = 473.27 × 142.14
  4. Step 4: Simplify right side
    315.63x = 67,272.14
  5. Step 5: Solve for x
    x = 67,272.14/315.63
  6. Step 6: Final answer
    x = 213.14

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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.