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Finding the Fourth Proportional to 148.26, 204.56 and 82.77

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Solution

The fourth proportional to 148.26, 204.56 and 82.77 is: 114.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.26 : 204.56 = 82.77 : x
  2. Step 2: Convert to fraction form
    148.26/204.56 = 82.77/x
  3. Step 3: Cross multiply
    148.26x = 204.56 × 82.77
  4. Step 4: Simplify right side
    148.26x = 16,931.03
  5. Step 5: Solve for x
    x = 16,931.03/148.26
  6. Step 6: Final answer
    x = 114.20

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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.