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Finding the Fourth Proportional to 350.02, 524.99 and 106.54

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Solution

The fourth proportional to 350.02, 524.99 and 106.54 is: 159.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.02 : 524.99 = 106.54 : x
  2. Step 2: Convert to fraction form
    350.02/524.99 = 106.54/x
  3. Step 3: Cross multiply
    350.02x = 524.99 × 106.54
  4. Step 4: Simplify right side
    350.02x = 55,933.21
  5. Step 5: Solve for x
    x = 55,933.21/350.02
  6. Step 6: Final answer
    x = 159.80

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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.