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Finding the Fourth Proportional to 316.42, 474.74 and 133.82

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Solution

The fourth proportional to 316.42, 474.74 and 133.82 is: 200.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.42 : 474.74 = 133.82 : x
  2. Step 2: Convert to fraction form
    316.42/474.74 = 133.82/x
  3. Step 3: Cross multiply
    316.42x = 474.74 × 133.82
  4. Step 4: Simplify right side
    316.42x = 63,529.71
  5. Step 5: Solve for x
    x = 63,529.71/316.42
  6. Step 6: Final answer
    x = 200.78

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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.