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Finding the Fourth Proportional to 207.02, 285.73 and 140.76

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Solution

The fourth proportional to 207.02, 285.73 and 140.76 is: 194.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.02 : 285.73 = 140.76 : x
  2. Step 2: Convert to fraction form
    207.02/285.73 = 140.76/x
  3. Step 3: Cross multiply
    207.02x = 285.73 × 140.76
  4. Step 4: Simplify right side
    207.02x = 40,219.35
  5. Step 5: Solve for x
    x = 40,219.35/207.02
  6. Step 6: Final answer
    x = 194.28

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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.