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Finding the Fourth Proportional to 472.22, 708.31 and 147.57

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Solution

The fourth proportional to 472.22, 708.31 and 147.57 is: 221.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.22 : 708.31 = 147.57 : x
  2. Step 2: Convert to fraction form
    472.22/708.31 = 147.57/x
  3. Step 3: Cross multiply
    472.22x = 708.31 × 147.57
  4. Step 4: Simplify right side
    472.22x = 104,521.03
  5. Step 5: Solve for x
    x = 104,521.03/472.22
  6. Step 6: Final answer
    x = 221.34

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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.