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Finding the Fourth Proportional to 315.51, 472.65 and 161.07

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Solution

The fourth proportional to 315.51, 472.65 and 161.07 is: 241.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.51 : 472.65 = 161.07 : x
  2. Step 2: Convert to fraction form
    315.51/472.65 = 161.07/x
  3. Step 3: Cross multiply
    315.51x = 472.65 × 161.07
  4. Step 4: Simplify right side
    315.51x = 76,129.74
  5. Step 5: Solve for x
    x = 76,129.74/315.51
  6. Step 6: Final answer
    x = 241.29

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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.