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Finding the Fourth Proportional to 474.96, 712.51 and 150.22

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Solution

The fourth proportional to 474.96, 712.51 and 150.22 is: 225.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.96 : 712.51 = 150.22 : x
  2. Step 2: Convert to fraction form
    474.96/712.51 = 150.22/x
  3. Step 3: Cross multiply
    474.96x = 712.51 × 150.22
  4. Step 4: Simplify right side
    474.96x = 107,033.25
  5. Step 5: Solve for x
    x = 107,033.25/474.96
  6. Step 6: Final answer
    x = 225.35

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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.