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Finding the Fourth Proportional to 315.82, 473.85 and 194.18

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Solution

The fourth proportional to 315.82, 473.85 and 194.18 is: 291.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.82 : 473.85 = 194.18 : x
  2. Step 2: Convert to fraction form
    315.82/473.85 = 194.18/x
  3. Step 3: Cross multiply
    315.82x = 473.85 × 194.18
  4. Step 4: Simplify right side
    315.82x = 92,009.82
  5. Step 5: Solve for x
    x = 92,009.82/315.82
  6. Step 6: Final answer
    x = 291.34

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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.