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Finding the Fourth Proportional to 315.25, 472.63 and 170.77

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Solution

The fourth proportional to 315.25, 472.63 and 170.77 is: 256.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.25 : 472.63 = 170.77 : x
  2. Step 2: Convert to fraction form
    315.25/472.63 = 170.77/x
  3. Step 3: Cross multiply
    315.25x = 472.63 × 170.77
  4. Step 4: Simplify right side
    315.25x = 80,711.03
  5. Step 5: Solve for x
    x = 80,711.03/315.25
  6. Step 6: Final answer
    x = 256.02

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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.