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Finding the Fourth Proportional to 200.23, 276.06 and 175.23

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Solution

The fourth proportional to 200.23, 276.06 and 175.23 is: 241.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.23 : 276.06 = 175.23 : x
  2. Step 2: Convert to fraction form
    200.23/276.06 = 175.23/x
  3. Step 3: Cross multiply
    200.23x = 276.06 × 175.23
  4. Step 4: Simplify right side
    200.23x = 48,373.99
  5. Step 5: Solve for x
    x = 48,373.99/200.23
  6. Step 6: Final answer
    x = 241.59

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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.