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Finding the Fourth Proportional to 436.24, 654.26 and 147.68

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Solution

The fourth proportional to 436.24, 654.26 and 147.68 is: 221.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.24 : 654.26 = 147.68 : x
  2. Step 2: Convert to fraction form
    436.24/654.26 = 147.68/x
  3. Step 3: Cross multiply
    436.24x = 654.26 × 147.68
  4. Step 4: Simplify right side
    436.24x = 96,617.11
  5. Step 5: Solve for x
    x = 96,617.11/436.24
  6. Step 6: Final answer
    x = 221.48

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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.