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Finding the Fourth Proportional to 474.75, 712.14 and 132.75

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Solution

The fourth proportional to 474.75, 712.14 and 132.75 is: 199.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.75 : 712.14 = 132.75 : x
  2. Step 2: Convert to fraction form
    474.75/712.14 = 132.75/x
  3. Step 3: Cross multiply
    474.75x = 712.14 × 132.75
  4. Step 4: Simplify right side
    474.75x = 94,536.59
  5. Step 5: Solve for x
    x = 94,536.59/474.75
  6. Step 6: Final answer
    x = 199.13

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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.