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Finding the Fourth Proportional to 315.95, 473.46 and 193.85

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Solution

The fourth proportional to 315.95, 473.46 and 193.85 is: 290.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.95 : 473.46 = 193.85 : x
  2. Step 2: Convert to fraction form
    315.95/473.46 = 193.85/x
  3. Step 3: Cross multiply
    315.95x = 473.46 × 193.85
  4. Step 4: Simplify right side
    315.95x = 91,777.85
  5. Step 5: Solve for x
    x = 91,777.85/315.95
  6. Step 6: Final answer
    x = 290.49

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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.