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Finding the Fourth Proportional to 349.71, 524.64 and 133.29

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Solution

The fourth proportional to 349.71, 524.64 and 133.29 is: 199.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.71 : 524.64 = 133.29 : x
  2. Step 2: Convert to fraction form
    349.71/524.64 = 133.29/x
  3. Step 3: Cross multiply
    349.71x = 524.64 × 133.29
  4. Step 4: Simplify right side
    349.71x = 69,929.15
  5. Step 5: Solve for x
    x = 69,929.15/349.71
  6. Step 6: Final answer
    x = 199.96

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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.