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Finding the Fourth Proportional to 207.07, 285.56 and 137.20

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Solution

The fourth proportional to 207.07, 285.56 and 137.20 is: 189.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.07 : 285.56 = 137.20 : x
  2. Step 2: Convert to fraction form
    207.07/285.56 = 137.20/x
  3. Step 3: Cross multiply
    207.07x = 285.56 × 137.20
  4. Step 4: Simplify right side
    207.07x = 39,177.40
  5. Step 5: Solve for x
    x = 39,177.40/207.07
  6. Step 6: Final answer
    x = 189.20

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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.