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Finding the Fourth Proportional to 436.02, 654.06 and 147.48

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Solution

The fourth proportional to 436.02, 654.06 and 147.48 is: 221.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.02 : 654.06 = 147.48 : x
  2. Step 2: Convert to fraction form
    436.02/654.06 = 147.48/x
  3. Step 3: Cross multiply
    436.02x = 654.06 × 147.48
  4. Step 4: Simplify right side
    436.02x = 96,460.77
  5. Step 5: Solve for x
    x = 96,460.77/436.02
  6. Step 6: Final answer
    x = 221.23

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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.