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Finding the Fourth Proportional to 603.72, 905.58 and 147.72

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Solution

The fourth proportional to 603.72, 905.58 and 147.72 is: 221.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.72 : 905.58 = 147.72 : x
  2. Step 2: Convert to fraction form
    603.72/905.58 = 147.72/x
  3. Step 3: Cross multiply
    603.72x = 905.58 × 147.72
  4. Step 4: Simplify right side
    603.72x = 133,772.28
  5. Step 5: Solve for x
    x = 133,772.28/603.72
  6. Step 6: Final answer
    x = 221.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.