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Finding the Fourth Proportional to 350.16, 524.92 and 141.81

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Solution

The fourth proportional to 350.16, 524.92 and 141.81 is: 212.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.16 : 524.92 = 141.81 : x
  2. Step 2: Convert to fraction form
    350.16/524.92 = 141.81/x
  3. Step 3: Cross multiply
    350.16x = 524.92 × 141.81
  4. Step 4: Simplify right side
    350.16x = 74,438.91
  5. Step 5: Solve for x
    x = 74,438.91/350.16
  6. Step 6: Final answer
    x = 212.59

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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.