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Finding the Fourth Proportional to 200.94, 276.60 and 175.02

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Solution

The fourth proportional to 200.94, 276.60 and 175.02 is: 240.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.94 : 276.60 = 175.02 : x
  2. Step 2: Convert to fraction form
    200.94/276.60 = 175.02/x
  3. Step 3: Cross multiply
    200.94x = 276.60 × 175.02
  4. Step 4: Simplify right side
    200.94x = 48,409.66
  5. Step 5: Solve for x
    x = 48,409.66/200.94
  6. Step 6: Final answer
    x = 240.92

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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.