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Finding the Fourth Proportional to 200.24, 301.53 and 174.87

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Solution

The fourth proportional to 200.24, 301.53 and 174.87 is: 263.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.24 : 301.53 = 174.87 : x
  2. Step 2: Convert to fraction form
    200.24/301.53 = 174.87/x
  3. Step 3: Cross multiply
    200.24x = 301.53 × 174.87
  4. Step 4: Simplify right side
    200.24x = 52,728.55
  5. Step 5: Solve for x
    x = 52,728.55/200.24
  6. Step 6: Final answer
    x = 263.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.