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Finding the Fourth Proportional to 603.36, 905.10 and 164.61

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Solution

The fourth proportional to 603.36, 905.10 and 164.61 is: 246.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.36 : 905.10 = 164.61 : x
  2. Step 2: Convert to fraction form
    603.36/905.10 = 164.61/x
  3. Step 3: Cross multiply
    603.36x = 905.10 × 164.61
  4. Step 4: Simplify right side
    603.36x = 148,988.51
  5. Step 5: Solve for x
    x = 148,988.51/603.36
  6. Step 6: Final answer
    x = 246.93

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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.