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Finding the Fourth Proportional to 364.06, 546.13 and 133.06

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Solution

The fourth proportional to 364.06, 546.13 and 133.06 is: 199.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.06 : 546.13 = 133.06 : x
  2. Step 2: Convert to fraction form
    364.06/546.13 = 133.06/x
  3. Step 3: Cross multiply
    364.06x = 546.13 × 133.06
  4. Step 4: Simplify right side
    364.06x = 72,666.36
  5. Step 5: Solve for x
    x = 72,666.36/364.06
  6. Step 6: Final answer
    x = 199.60

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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.