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Finding the Fourth Proportional to 207.26, 285.63 and 148.94

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Solution

The fourth proportional to 207.26, 285.63 and 148.94 is: 205.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.26 : 285.63 = 148.94 : x
  2. Step 2: Convert to fraction form
    207.26/285.63 = 148.94/x
  3. Step 3: Cross multiply
    207.26x = 285.63 × 148.94
  4. Step 4: Simplify right side
    207.26x = 42,541.73
  5. Step 5: Solve for x
    x = 42,541.73/207.26
  6. Step 6: Final answer
    x = 205.26

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Why These Related Problems?

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