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Finding the Fourth Proportional to 207.36, 285.93 and 145.04

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Solution

The fourth proportional to 207.36, 285.93 and 145.04 is: 199.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.36 : 285.93 = 145.04 : x
  2. Step 2: Convert to fraction form
    207.36/285.93 = 145.04/x
  3. Step 3: Cross multiply
    207.36x = 285.93 × 145.04
  4. Step 4: Simplify right side
    207.36x = 41,469.86
  5. Step 5: Solve for x
    x = 41,469.86/207.36
  6. Step 6: Final answer
    x = 199.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.