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Finding the Fourth Proportional to 350.24, 524.76 and 188

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Solution

The fourth proportional to 350.24, 524.76 and 188 is: 281.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.24 : 524.76 = 188 : x
  2. Step 2: Convert to fraction form
    350.24/524.76 = 188/x
  3. Step 3: Cross multiply
    350.24x = 524.76 × 188
  4. Step 4: Simplify right side
    350.24x = 98,654.88
  5. Step 5: Solve for x
    x = 98,654.88/350.24
  6. Step 6: Final answer
    x = 281.68

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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.