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Finding the Fourth Proportional to 350.02, 524.64 and 133.42

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Solution

The fourth proportional to 350.02, 524.64 and 133.42 is: 199.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.02 : 524.64 = 133.42 : x
  2. Step 2: Convert to fraction form
    350.02/524.64 = 133.42/x
  3. Step 3: Cross multiply
    350.02x = 524.64 × 133.42
  4. Step 4: Simplify right side
    350.02x = 69,997.47
  5. Step 5: Solve for x
    x = 69,997.47/350.02
  6. Step 6: Final answer
    x = 199.98

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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.