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Finding the Fourth Proportional to 475.10, 712.63 and 150.45

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Solution

The fourth proportional to 475.10, 712.63 and 150.45 is: 225.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.10 : 712.63 = 150.45 : x
  2. Step 2: Convert to fraction form
    475.10/712.63 = 150.45/x
  3. Step 3: Cross multiply
    475.10x = 712.63 × 150.45
  4. Step 4: Simplify right side
    475.10x = 107,218.23
  5. Step 5: Solve for x
    x = 107,218.23/475.10
  6. Step 6: Final answer
    x = 225.68

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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.