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Finding the Fourth Proportional to 350.18, 524.57 and 176.33

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Solution

The fourth proportional to 350.18, 524.57 and 176.33 is: 264.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.18 : 524.57 = 176.33 : x
  2. Step 2: Convert to fraction form
    350.18/524.57 = 176.33/x
  3. Step 3: Cross multiply
    350.18x = 524.57 × 176.33
  4. Step 4: Simplify right side
    350.18x = 92,497.43
  5. Step 5: Solve for x
    x = 92,497.43/350.18
  6. Step 6: Final answer
    x = 264.14

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