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Finding the Fourth Proportional to 436.46, 654.74 and 147.92

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Solution

The fourth proportional to 436.46, 654.74 and 147.92 is: 221.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.46 : 654.74 = 147.92 : x
  2. Step 2: Convert to fraction form
    436.46/654.74 = 147.92/x
  3. Step 3: Cross multiply
    436.46x = 654.74 × 147.92
  4. Step 4: Simplify right side
    436.46x = 96,849.14
  5. Step 5: Solve for x
    x = 96,849.14/436.46
  6. Step 6: Final answer
    x = 221.90

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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.