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Finding the Fourth Proportional to 364.90, 546.98 and 133.64

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Solution

The fourth proportional to 364.90, 546.98 and 133.64 is: 200.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.90 : 546.98 = 133.64 : x
  2. Step 2: Convert to fraction form
    364.90/546.98 = 133.64/x
  3. Step 3: Cross multiply
    364.90x = 546.98 × 133.64
  4. Step 4: Simplify right side
    364.90x = 73,098.41
  5. Step 5: Solve for x
    x = 73,098.41/364.90
  6. Step 6: Final answer
    x = 200.32

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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.