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Finding the Fourth Proportional to 364.71, 546.93 and 133.54

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Solution

The fourth proportional to 364.71, 546.93 and 133.54 is: 200.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.71 : 546.93 = 133.54 : x
  2. Step 2: Convert to fraction form
    364.71/546.93 = 133.54/x
  3. Step 3: Cross multiply
    364.71x = 546.93 × 133.54
  4. Step 4: Simplify right side
    364.71x = 73,037.03
  5. Step 5: Solve for x
    x = 73,037.03/364.71
  6. Step 6: Final answer
    x = 200.26

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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.