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Finding the Fourth Proportional to 315.34, 473.06 and 109.97

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Solution

The fourth proportional to 315.34, 473.06 and 109.97 is: 164.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.34 : 473.06 = 109.97 : x
  2. Step 2: Convert to fraction form
    315.34/473.06 = 109.97/x
  3. Step 3: Cross multiply
    315.34x = 473.06 × 109.97
  4. Step 4: Simplify right side
    315.34x = 52,020.90
  5. Step 5: Solve for x
    x = 52,020.90/315.34
  6. Step 6: Final answer
    x = 164.97

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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.