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Finding the Fourth Proportional to 315.23, 472.64 and 168.82

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Solution

The fourth proportional to 315.23, 472.64 and 168.82 is: 253.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.23 : 472.64 = 168.82 : x
  2. Step 2: Convert to fraction form
    315.23/472.64 = 168.82/x
  3. Step 3: Cross multiply
    315.23x = 472.64 × 168.82
  4. Step 4: Simplify right side
    315.23x = 79,789.06
  5. Step 5: Solve for x
    x = 79,789.06/315.23
  6. Step 6: Final answer
    x = 253.12

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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.