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Finding the Fourth Proportional to 200.46, 276.74 and 148.13

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Solution

The fourth proportional to 200.46, 276.74 and 148.13 is: 204.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.46 : 276.74 = 148.13 : x
  2. Step 2: Convert to fraction form
    200.46/276.74 = 148.13/x
  3. Step 3: Cross multiply
    200.46x = 276.74 × 148.13
  4. Step 4: Simplify right side
    200.46x = 40,993.45
  5. Step 5: Solve for x
    x = 40,993.45/200.46
  6. Step 6: Final answer
    x = 204.50

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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.