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Finding the Fourth Proportional to 245.60, 367.91 and 122.01

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Solution

The fourth proportional to 245.60, 367.91 and 122.01 is: 182.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.60 : 367.91 = 122.01 : x
  2. Step 2: Convert to fraction form
    245.60/367.91 = 122.01/x
  3. Step 3: Cross multiply
    245.60x = 367.91 × 122.01
  4. Step 4: Simplify right side
    245.60x = 44,888.70
  5. Step 5: Solve for x
    x = 44,888.70/245.60
  6. Step 6: Final answer
    x = 182.77

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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.