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Finding the Fourth Proportional to 475.07, 712.71 and 150.42

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Solution

The fourth proportional to 475.07, 712.71 and 150.42 is: 225.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.07 : 712.71 = 150.42 : x
  2. Step 2: Convert to fraction form
    475.07/712.71 = 150.42/x
  3. Step 3: Cross multiply
    475.07x = 712.71 × 150.42
  4. Step 4: Simplify right side
    475.07x = 107,205.84
  5. Step 5: Solve for x
    x = 107,205.84/475.07
  6. Step 6: Final answer
    x = 225.67

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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.