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Finding the Fourth Proportional to 207.21, 285.70 and 133.53

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Solution

The fourth proportional to 207.21, 285.70 and 133.53 is: 184.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.21 : 285.70 = 133.53 : x
  2. Step 2: Convert to fraction form
    207.21/285.70 = 133.53/x
  3. Step 3: Cross multiply
    207.21x = 285.70 × 133.53
  4. Step 4: Simplify right side
    207.21x = 38,149.52
  5. Step 5: Solve for x
    x = 38,149.52/207.21
  6. Step 6: Final answer
    x = 184.11

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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.