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Finding the Fourth Proportional to 474.82, 712.17 and 128.18

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Solution

The fourth proportional to 474.82, 712.17 and 128.18 is: 192.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.82 : 712.17 = 128.18 : x
  2. Step 2: Convert to fraction form
    474.82/712.17 = 128.18/x
  3. Step 3: Cross multiply
    474.82x = 712.17 × 128.18
  4. Step 4: Simplify right side
    474.82x = 91,285.95
  5. Step 5: Solve for x
    x = 91,285.95/474.82
  6. Step 6: Final answer
    x = 192.25

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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.