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Finding the Fourth Proportional to 436.14, 654.10 and 147.57

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Solution

The fourth proportional to 436.14, 654.10 and 147.57 is: 221.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.14 : 654.10 = 147.57 : x
  2. Step 2: Convert to fraction form
    436.14/654.10 = 147.57/x
  3. Step 3: Cross multiply
    436.14x = 654.10 × 147.57
  4. Step 4: Simplify right side
    436.14x = 96,524.80
  5. Step 5: Solve for x
    x = 96,524.80/436.14
  6. Step 6: Final answer
    x = 221.32

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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.