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Finding the Fourth Proportional to 315.38, 473.14 and 109.94

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Solution

The fourth proportional to 315.38, 473.14 and 109.94 is: 164.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.38 : 473.14 = 109.94 : x
  2. Step 2: Convert to fraction form
    315.38/473.14 = 109.94/x
  3. Step 3: Cross multiply
    315.38x = 473.14 × 109.94
  4. Step 4: Simplify right side
    315.38x = 52,017.01
  5. Step 5: Solve for x
    x = 52,017.01/315.38
  6. Step 6: Final answer
    x = 164.93

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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.