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Finding the Fourth Proportional to 315.45, 473.20 and 109.96

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Solution

The fourth proportional to 315.45, 473.20 and 109.96 is: 164.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.45 : 473.20 = 109.96 : x
  2. Step 2: Convert to fraction form
    315.45/473.20 = 109.96/x
  3. Step 3: Cross multiply
    315.45x = 473.20 × 109.96
  4. Step 4: Simplify right side
    315.45x = 52,031.61
  5. Step 5: Solve for x
    x = 52,031.61/315.45
  6. Step 6: Final answer
    x = 164.94

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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.