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Finding the Fourth Proportional to 315.66, 473.73 and 213.15

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Solution

The fourth proportional to 315.66, 473.73 and 213.15 is: 319.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.66 : 473.73 = 213.15 : x
  2. Step 2: Convert to fraction form
    315.66/473.73 = 213.15/x
  3. Step 3: Cross multiply
    315.66x = 473.73 × 213.15
  4. Step 4: Simplify right side
    315.66x = 100,975.55
  5. Step 5: Solve for x
    x = 100,975.55/315.66
  6. Step 6: Final answer
    x = 319.89

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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.