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Finding the Fourth Proportional to 315.41, 473.11 and 109.94

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Solution

The fourth proportional to 315.41, 473.11 and 109.94 is: 164.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.41 : 473.11 = 109.94 : x
  2. Step 2: Convert to fraction form
    315.41/473.11 = 109.94/x
  3. Step 3: Cross multiply
    315.41x = 473.11 × 109.94
  4. Step 4: Simplify right side
    315.41x = 52,011.07
  5. Step 5: Solve for x
    x = 52,011.07/315.41
  6. Step 6: Final answer
    x = 164.90

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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.