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Finding the Fourth Proportional to 315.78, 473.14 and 161.54

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Solution

The fourth proportional to 315.78, 473.14 and 161.54 is: 242.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.78 : 473.14 = 161.54 : x
  2. Step 2: Convert to fraction form
    315.78/473.14 = 161.54/x
  3. Step 3: Cross multiply
    315.78x = 473.14 × 161.54
  4. Step 4: Simplify right side
    315.78x = 76,431.04
  5. Step 5: Solve for x
    x = 76,431.04/315.78
  6. Step 6: Final answer
    x = 242.04

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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.