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Finding the Fourth Proportional to 351.74, 527.76 and 189.23

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Solution

The fourth proportional to 351.74, 527.76 and 189.23 is: 283.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.74 : 527.76 = 189.23 : x
  2. Step 2: Convert to fraction form
    351.74/527.76 = 189.23/x
  3. Step 3: Cross multiply
    351.74x = 527.76 × 189.23
  4. Step 4: Simplify right side
    351.74x = 99,868.02
  5. Step 5: Solve for x
    x = 99,868.02/351.74
  6. Step 6: Final answer
    x = 283.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.