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Finding the Fourth Proportional to 364.15, 546.28 and 133.10

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Solution

The fourth proportional to 364.15, 546.28 and 133.10 is: 199.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.15 : 546.28 = 133.10 : x
  2. Step 2: Convert to fraction form
    364.15/546.28 = 133.10/x
  3. Step 3: Cross multiply
    364.15x = 546.28 × 133.10
  4. Step 4: Simplify right side
    364.15x = 72,709.87
  5. Step 5: Solve for x
    x = 72,709.87/364.15
  6. Step 6: Final answer
    x = 199.67

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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.