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Finding the Fourth Proportional to 328.63, 492.64 and 133.77

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Solution

The fourth proportional to 328.63, 492.64 and 133.77 is: 200.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.63 : 492.64 = 133.77 : x
  2. Step 2: Convert to fraction form
    328.63/492.64 = 133.77/x
  3. Step 3: Cross multiply
    328.63x = 492.64 × 133.77
  4. Step 4: Simplify right side
    328.63x = 65,900.45
  5. Step 5: Solve for x
    x = 65,900.45/328.63
  6. Step 6: Final answer
    x = 200.53

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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.