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Finding the Fourth Proportional to 207.06, 285.67 and 148.05

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Solution

The fourth proportional to 207.06, 285.67 and 148.05 is: 204.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.06 : 285.67 = 148.05 : x
  2. Step 2: Convert to fraction form
    207.06/285.67 = 148.05/x
  3. Step 3: Cross multiply
    207.06x = 285.67 × 148.05
  4. Step 4: Simplify right side
    207.06x = 42,293.44
  5. Step 5: Solve for x
    x = 42,293.44/207.06
  6. Step 6: Final answer
    x = 204.26

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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.