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Finding the Fourth Proportional to 296.02, 443.68 and 122.54

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Solution

The fourth proportional to 296.02, 443.68 and 122.54 is: 183.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.02 : 443.68 = 122.54 : x
  2. Step 2: Convert to fraction form
    296.02/443.68 = 122.54/x
  3. Step 3: Cross multiply
    296.02x = 443.68 × 122.54
  4. Step 4: Simplify right side
    296.02x = 54,368.55
  5. Step 5: Solve for x
    x = 54,368.55/296.02
  6. Step 6: Final answer
    x = 183.67

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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.